31c/240 caterpillar working notes

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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oblique
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Re: 31c/240 caterpillar working notes

Post by oblique » January 24th, 2014, 1:52 am

dvgrn wrote:
oblique wrote:Lanes are always defined such that lane 0 would hit exactly the top left corner of the bounding box.
Lane 0 would hit the top left corner -- is that with a 3o$o$bo! glider or a 2o$obo$o! glider? They're actually on different lanes. Other than that, your definitions seem clear, and I think the math would all work as you've outlined it.
The whole article was more like an outline, then a stone-hard definition. For an exact definition I would (reandomly) one of the 4 phases and define a "hot spot" that should reach (0,0) - and call that gliders lane "0".
As long as the definition is known by those who actually try to use the results that would be fine.
Besides: as long as the definition is well defined (even if randomly so) the results would work just fine. All that maybe has to be done is adjust the target by one or even two cells.
dvgrn wrote:
oblique wrote:We could then use the weighted q algorithm and the function above, to search for a specific result.

(start with one state (pat,lane), q all reactions coming from there, then iteratively take the cheapest queued reaction r from the q, add any possible reaction starting with the end pattern of r back to the q, until one is found that yields the desired result)
Ah, this is the exciting part! The original Glue built a database of all the reactions it found that didn't explode -- Paul Chapman called them "simple outcomes", and recently I've been calling them "intermediate targets", or just "targets". The idea was to do the actual search just once and query the database later. But as I mentioned a while back, *WSS generators were among the reactions that Glue automatically threw away.

I seem to recall that even forbidding output gliders and *WSSes, Glue had a hard time getting past about nine gliders -- the database went over 2GB at that point, so doing a complete search with up to ten gliders would have exploded the size to dozens of gigabytes at least.
Space does not matter that much any more. Besides to my experience pattern-DBs seem to be vary well compressable.

OK, sharing actually GBs of uncompressable or already compressed Data is a pain still.
dvgrn wrote: For example, an eight-glider 0 +9 +18 +27 +5 +14 +23 +1 recipe would cost 1+1+2+3+4+5+6+7 = 29 rephaser/rakes, less than a two-glider 0 +0 recipe (second glider following the first on the same lane -- 1+31 = 32 rephaser/rakes).
That is the base idea, yes. Besides: with my "definition" of lane there would be lanes with negative indices.
Maybe "top most lane that comes close enough to the bounding box to interact" would be better.
dvgrn wrote: Anyway, it will be very interesting to see how long it takes to boil this search space down into useful information. I could imagine designing either an initial exhaustive search stage, to produce a huge database to be re-searched later -- or an optimized utility that you'd run over and over again with different parameters, each time you want to find something different. (?)
Not sure yet. For a "cheap first" search you actually need at least the weights. I bet that each constructor has it's own definition of "cheap".
Therefore it might be better to include other limits like "do not collided with my copy 31 places away of me" from the begining.

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Re: 31c/240 caterpillar working notes

Post by HartmutHolzwart » January 24th, 2014, 5:24 am

Btw.: If we could later manage the complexity of interleaving the construction of multiple targets, this should reduce the average cost for adjusters. If we assume equal independent distribution of the requested gliders mod 31, then for two targets the average cost would be significantly reduced from 16 (I have to do the exact math).

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 24th, 2014, 9:58 am

HartmutHolzwart wrote:Btw.: If we could later manage the complexity of interleaving the construction of multiple targets, this should reduce the average cost for adjusters. If we assume equal independent distribution of the requested gliders mod 31, then for two targets the average cost would be significantly reduced from 16 (I have to do the exact math).
Do you mean two targets right next to each other, inside the same 31-stripe for the 31c/240 spaceship? Otherwise I don't see how you'd avoid hitting one target with the backrake stream intended for the other target. But 31-stripes are not very wide; even within one stripe, I think you would usually end up with unwanted interactions between the two recipes.

It probably works better to think of a two-target construction as a construction of a single constellation. This worked out very well for the Geminoid replicator construction: I had a database of half a million constellations to look through (the attached recipes in the link, plus their mirror images). So the odds were pretty good that the constellation I wanted was in there somewhere... and much larger constellation databases are within easy reach of a NewGlue search.

I suggested an optimization similar in some ways to your multi-target idea, that I still think might be worth pursuing: have two or more (but probably just two) rephaser tracks, six block trails each, running next to each other, both firing rightward backrakes. The track on the right would be the primary one, of course, but whenever a glider was required that would need a dozen or more rephasers, send a stream through from the "backup" left-hand track instead. This will be especially effective when skipping one lane in a recipe would mean that the next required lane would be cheap instead of expensive.

[If you can get the +6 glider from somewhere else in a 0 +6 +1 series, for example, then +1 is only half a dozen rephasers away from the original 0 lane -- whereas you'd need ten rephasers to get to the +6, and then another 25 to get back to +1.]

With the current trail spacing there are eight lanes on which a backrake stream can pass through, so it should only take a few rephasers to reach a permeable configuration.

The difficult part of this design is that you might simultaneously want to use the left track as a primary lane for left-shooting backrakes, with the right track as the backup. Optimizing the two tracks for those conflicting purposes is definitely non-trivial -- but it may produce a shorter spaceship than a four-track version with dedicated primary and backup tracks for the left and right sides.

... I wouldn't be surprised if a three-track design turned out to be a good compromise.

But once we have one track at the front of the spaceship, it may turn out that it costs very little to build as many additional tracks as we want -- maybe even two backup tracks for each primary. That seems like it might create more problems than it solves, though, since the innermost track would have to shoot through two sets of block trails.

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Re: 31c/240 caterpillar working notes

Post by HartmutHolzwart » January 24th, 2014, 12:00 pm

Why in the same 31 strip? Unless you define a strip different than me. In every column you are rextrcuted to a length of 31, but it need not be the same height where you start. So you can build a block slightly above the normal range if there is no other target that would collide.

So if you have two *WSS that are very near to each other, the idea would be to bild the seeds for them simultaneously and then fire them off together. Can you duplicate gliders with slow salvos in a controlled manner or is that too costly?

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 24th, 2014, 2:10 pm

HartmutHolzwart wrote:Why in the same 31 strip? Unless you define a strip different than me. In every column you are rextrcuted to a length of 31, but it need not be the same height where you start. So you can build a block slightly above the normal range if there is no other target that would collide.
True enough. My definition of 31-stripe is fairly informal -- I'm visualizing it as a width-31 diagonal stripe, but it can certainly wander a little out of the normal range as you say. My experience so far is that width-31 isn't a lot of room to put together a slow salvo in: a traffic light fills up a third of the width, and a simple honeyfarm explosion takes up closer to half of it. If you try to manage two simultaneous constructions in that width, the odds are good that some of the intermediate states of one construction will get in the way of the next glider needed for the other construction -- so then you're back to having to pay the full price for the next glider again.

Now, even for a single construction, there are usually multiple recipes (often dozens) that produce the same result. If you have to get rid of a block, for example, you can shoot it down with any of six adjacent lanes... some of those lanes will be cheap, and some will be expensive. Or you might have to move two blocks in the current target constellation, one with a (+2,+1) pull and one with a (+1,+2) -- you can usually fire those two gliders in either order, and generally one order will be cheaper than the other.
HartmutHolzwart wrote:So if you have two *WSS that are very near to each other, the idea would be to bild the seeds for them simultaneously and then fire them off together. Can you duplicate gliders with slow salvos in a controlled manner or is that too costly?
I'd say it's not too costly anywhere that it absolutely has to be done, but it will almost always make sense to avoid it. We can certainly string together a glider splitter and some one-time turners to get any relative spacing and timing we want for two output gliders, within the width-31 constraints. And no doubt somewhere out there are two *WSS seeds that can be built very close to each other, and can be triggered simultaneously to get a helix spacing that we can't get otherwise.

However, between the splitter, the turners, and the seeds, we probably have a dozen-object constellation (at least) to construct with a slow-salvo recipe. Somewhere out there in the search space is the incredibly lucky recipe that places all of these objects exactly right, with the minimum cost -- maybe a dozen gliders or so. But that minimum-cost recipe is out of reach of any likely search utility, at least for the moment; there are just too many quadrillions of possible recipes to sort through.

So in practice we'd have to build each object separately, or in groups of two or three -- and that does get pretty expensive, especially when you compare it to simply building a standalone *WSS seed and triggering it immediately, with no extra glider splitters or OTTs needed.

Seems like we'll almost certainly end up with a shorter spaceship if we restrict helix searches to *WSSes that can be constructed by inexpensive slow-salvo seed mechanisms. Which brings us back to the search project that oblique is looking at, to expand our list of inexpensive slow-salvo *WSS seeds. I'm betting there are good *WSS edge-shooters eight gliders from a block, or seven gliders from a blinker... and that is within reach of an exhaustive search!

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Re: 31c/240 caterpillar working notes

Post by oblique » January 25th, 2014, 4:04 am

dvgrn wrote:And no doubt somewhere out there are two *WSS seeds that can be built very close to each other, and can be triggered simultaneously to get a helix spacing that we can't get otherwise.
I'd rather be looking for a differnt helix in that case.

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Re: 31c/240 caterpillar working notes

Post by codeholic » January 27th, 2014, 5:42 pm

Nice LWSS edge-shooting seed:

Code: Select all

x = 76, y = 108, rule = B3/S23
bo$2bo$3o59$75bo$75bo$75bo5$70b2o$69bo2bo$70b2o3$72bo$71bobo$71bobo$
72bo15$61bo$62bo12bo$60b3o12bo$75bo5$70b2o$69bo2bo$70b2o3$72bo$71bobo$
71bobo$72bo!
HWSS edge-shooting seed with 2 blocks as in the blockade:

Code: Select all

x = 78, y = 110, rule = B3/S23
bo$2bo$3o61$70b2o$70b2o2b2o$74b2o11$77bo$77bo$77bo13$61bo$62bo$60b3o$
70b2o$70b2o2b2o$74b2o11$77bo$77bo$77bo!
Still the same base reaction, unfortunately. That means, still zero clearance.
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Re: 31c/240 caterpillar working notes

Post by codeholic » January 28th, 2014, 8:38 pm

dvgrn wrote:Another degree of freedom that I just noticed is in the spacing between the pairs of trails. Turns out that single Herschels at the edges, #1 and #6, and the pairs of kickback-reaction Herschels, #2-#3 and #4-#5, have quite a bit of adjustability, which can allow for a lot more block-pair spacing options. Everything can be made to work pretty much the same as before. Here's a rephaser/rake running happily at 58:70:54:80:58 --
What's the least N for which distance between pairs of trails of the form 48+62N would work?

EDIT: Oh, I forgot to mention (I think it's important): it's gonna be 90-tracks.
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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 28th, 2014, 10:41 pm

codeholic wrote:What's the least N for which distance between pairs of trails of the form 48+62N would work?

EDIT: Oh, I forgot to mention (I think it's important): it's gonna be 90-tracks.
Not surprisingly, it looks like it will be 90:110:90:110:90:

Code: Select all

x = 500, y = 1000, rule = B3/S23
4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o
88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b
2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o
108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b
2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o
88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b
2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o
108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b
2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o
88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b
2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$
4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o
88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b
2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o
108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b
2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o
88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b
2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o
108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b
2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o
88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b
2o29$402b3o$204b2o88b2o106bo2bo82b3o$6b3o85b3o107b2o88b2o106b2ob2o81b
2o$6b3o78b2o3b2ob2o309bo79b2o3bo$4b2o81b2obo2b2o304bo2b2ob2o79b2obobo
4b2o$2b2o4bo79b4obo2bo303bob4o80b2o3b2o3b2o$9bo78b2obobobobo392b2o$bo
9bo78b2obobobo$bo2bobo3bobo79bo3bo315b3o$13bo$6bo6bo$6bo70b3o$8bo3bo
63bo3bo$9b2o65bo3bo$77b3o19b2o384b2o$2o96bo2bo5bo292b2o96b2o$2o96bob3o
bo3bo291b2o96b2o$99b2ob3o$107bo$101b5o$100b5o2$476bo$4b2o88b2o308b2o
70b2o16b2o$4b2o88b2o21bobo284b2o69bobo16b2o$118b2o$118bo2$29bo$28b2o$
28bobo343bobo$374b2o$204b2o88b2o79bo$204b2o88b2o3$12b2o72b2o324b2o72b
2o$12b2o72b2o324b2o72b2o6$291bo$290b3o$289b2ob2o$289bo2$64bo226bo$63bo
227b2o$63b3o224bob2o$210bobo203bo$209bo4bo201b2o$209bo4bo200bobo$4b2o
88b2o113b2o83bo109b2o35bo52b2o$4b2o88b2o198b2o108b2o36bo51b2o$209b2o2b
2o225b3o$89bo119b2o2b2o$88b2o119b3obo$88bobo119bo73bobo$211bo72b2o$
285bo2$49bo$50b2o$49b2o$202bo$12b2o72b2o113bo10b2o72b2o124b2o72b2o$12b
2o72b2o112b2o10b2o72b2o124b2o72b2o$200b2obo240bo$442b2o$202bo240b2o9$
356bo$356b2o$355bobo3$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o53bo54b
2o88b2o108b2o88b2o$148b2o$148bobo10$12b2o72b2o124b2o72b2o124b2o72b2o$
12b2o72b2o124b2o72b2o124b2o72b2o17$4b2o88b2o108b2o88b2o108b2o88b2o$4b
2o88b2o108b2o88b2o108b2o88b2o12$212b2o72b2o$212b2o72b2o14$267bobo$268b
2o$268bo133b3o$204b2o88b2o106bo2bo82b3o$6b3o85b3o107b2o88b2o106b2ob2o
81b2o$6b3o78b2o3b2ob2o309bo79b2o3bo$4b2o81b2obo2b2o129bobo172bo2b2ob2o
79b2obobo4b2o$2b2o4bo79b4obo2bo127b2o174bob4o80b2o3b2o3b2o$9bo78b2obob
obobo127bo264b2o$bo9bo78b2obobobo$bo2bobo3bobo79bo3bo315b3o$13bo$6bo6b
o$6bo70b3o$8bo3bo63bo3bo$9b2o65bo3bo$77b3o19b2o111b2o72b2o197b2o$2o96b
o2bo5bo104b2o72b2o112b2o96b2o$2o96bob3obo3bo291b2o96b2o$99b2ob3o$107bo
$101b5o$100b5o2$476bo$4b2o88b2o308b2o70b2o16b2o$4b2o88b2o21bobo284b2o
69bobo16b2o$118b2o$118bo2$29bo$28b2o$28bobo343bobo$374b2o$204b2o88b2o
79bo$204b2o88b2o3$12b2o72b2o324b2o72b2o$12b2o72b2o324b2o72b2o6$291bo$
290b3o$289b2ob2o$289bo2$64bo226bo$63bo227b2o$63b3o224bob2o$210bobo203b
o$209bo4bo201b2o$209bo4bo200bobo$4b2o88b2o113b2o83bo109b2o35bo52b2o$4b
2o88b2o198b2o108b2o36bo51b2o$209b2o2b2o225b3o$89bo119b2o2b2o$88b2o119b
3obo$88bobo119bo73bobo$211bo72b2o$285bo2$49bo$50b2o$49b2o$202bo$12b2o
72b2o113bo10b2o72b2o124b2o72b2o$12b2o72b2o112b2o10b2o72b2o124b2o72b2o$
200b2obo240bo$442b2o$202bo240b2o9$356bo$356b2o$355bobo3$4b2o88b2o108b
2o88b2o108b2o88b2o$4b2o88b2o53bo54b2o88b2o108b2o88b2o$148b2o$148bobo
10$12b2o72b2o124b2o72b2o124b2o72b2o$12b2o72b2o124b2o72b2o124b2o72b2o
17$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o12$
212b2o72b2o$212b2o72b2o14$267bobo$268b2o$268bo$4b2o88b2o108b2o88b2o
108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o2$224bobo$224b2o$225bo8$
212b2o72b2o$212b2o72b2o!

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Re: 31c/240 caterpillar working notes

Post by oblique » January 29th, 2014, 2:28 am

dvgrn wrote:
codeholic wrote:What's the least N for which distance between pairs of trails of the form 48+62N would work?

EDIT: Oh, I forgot to mention (I think it's important): it's gonna be 90-tracks.
Not surprisingly, it looks like it will be 90:110:90:110:90:
Just out of curiousity: why this track spacing?

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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 5:39 am

Because that's the spacing that can be produced by the only non-trivial front pattern I've found so far that consists only of spaceship salvos that are known to be slow-salvo-constructible (I need few other evenings to assemble and finalize it).
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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 6:03 am

Is it reasonable to make a primary slow salvo target with a reaction like:

Code: Select all

x = 515, y = 489, rule = B3/S23
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o30$
19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o29$
417b3o$219b2o88b2o106bo2bo82b3o$22b2o85b3o107b2o88b2o106b2ob2o81b2o$
22bo79b2o3b2ob2o309bo79b2o3bo$17b2o2bo3bo76b2obo2b2o304bo2b2ob2o79b2ob
obo4b2o$17b2o3bo2b2o76b4obo2bo303bob4o80b2o3b2o3b2o$27b2o74b2obobobobo
392b2o$24b2ob2o76b2obobobo$107bo3bo315b3o$25b2ob2o$25b2ob2o$27bo64b3o$
91bo3bo$91bo3bo$92b3o19b2o384b2o$15b2o96bo2bo5bo292b2o96b2o$15b2o96bob
3obo3bo291b2o96b2o$114b2ob3o$122bo$2o114b5o$2o113b5o2$491bo$19b2o88b2o
308b2o70b2o16b2o$19b2o88b2o21bobo284b2o69bobo16b2o$133b2o$133bo2$44bo$
43b2o$43bobo343bobo$389b2o$219b2o88b2o79bo$219b2o88b2o3$27b2o72b2o324b
2o72b2o$27b2o72b2o324b2o72b2o6$306bo$305b3o$304b2ob2o$304bo2$79bo226bo
$78bo227b2o$2o76b3o224bob2o$2o223bobo203bo$224bo4bo201b2o$224bo4bo200b
obo$19b2o88b2o113b2o83bo109b2o35bo52b2o$19b2o88b2o198b2o108b2o36bo51b
2o$224b2o2b2o225b3o$104bo119b2o2b2o$103b2o119b3obo$103bobo119bo73bobo$
226bo72b2o$300bo4$65bobo$66b2o149bo$27b2o37bo34b2o113bo10b2o72b2o124b
2o72b2o$27b2o72b2o112b2o10b2o72b2o124b2o72b2o$215b2obo240bo$457b2o$
217bo240b2o9$371bo$2o369b2o$2o368bobo3$19b2o88b2o108b2o88b2o108b2o88b
2o$19b2o88b2o53bo54b2o88b2o108b2o88b2o$163b2o$163bobo10$27b2o72b2o124b
2o72b2o124b2o72b2o$27b2o72b2o124b2o72b2o124b2o72b2o13$2o$2o3$19b2o88b
2o108b2o88b2o108b2o88b2o$19b2o88b2o108b2o88b2o108b2o88b2o12$227b2o72b
2o$227b2o72b2o13$2o$2o280bobo$283b2o$283bo$19b2o88b2o108b2o88b2o108b2o
88b2o$19b2o88b2o108b2o88b2o108b2o88b2o2$239bobo$239b2o$240bo8$227b2o
72b2o$227b2o72b2o13$2o$2o3$19b2o88b2o108b2o88b2o108b2o88b2o$19b2o88b2o
108b2o88b2o108b2o88b2o26$2o$2o3$19b2o88b2o108b2o88b2o108b2o88b2o$19b2o
88b2o108b2o88b2o108b2o88b2o26$2o$2o3$19b2o88b2o108b2o88b2o108b2o88b2o$
19b2o88b2o108b2o88b2o108b2o88b2o!
Ivan Fomichev

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dvgrn
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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 7:14 am

codeholic wrote:Is it reasonable to make a primary slow salvo target with a reaction like: {adjusted rephaser leaves junk at rake suppression point}
Quite possibly yes. But if we want to do that we may need to adjust the block-trail spacing again. At 90:110, the collision point between the rake gliders and their suppression gliders is very close to the outside block trail. A slow salvo needs more room than that to work, especially starting from a block since the first step is always a honeyfarm.

In this case, the third rephaser following the block-making will crash into the block, so we definitely need to free up more room:

Code: Select all

x = 514, y = 900, rule = LifeHistory
2A$2A3$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A
88.2A26$2A$2A3$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A
108.2A88.2A26$2A$2A3$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.
2A88.2A108.2A88.2A26$2A$2A3$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.
2A108.2A88.2A108.2A88.2A26$2A$2A3$19.2A88.2A108.2A88.2A108.2A88.2A$
19.2A88.2A108.2A88.2A108.2A88.2A26$2A$2A3$19.2A88.2A108.2A88.2A108.2A
88.2A$19.2A88.2A108.2A88.2A108.2A88.2A26$2A$2A3$19.2A88.2A108.2A88.2A
108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A26$2A$2A3$19.2A88.2A108.
2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A26$2A$2A3$19.2A88.
2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A30$19.2A88.
2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A8$508.2A$
506.A.A.A$501.A3.4A2.A$500.2A9.A$499.2A.A6.A.A$500.A.A6.2A$501.2A3$
22.3A483.2A$22.A2.A$21.A2.2A$21.2A$509.2A$25.A483.2A$26.2A$25.2A3$
426.3A$425.A2.A69.A$104.A320.A3.A66.2A$103.A.A113.2A88.2A113.2A2.A68.
2A13.A$219.2A88.2A115.A85.2A$101.A2.A322.2A82.A.A$100.A5.A4.2A304.2A
8.3A$27.2A72.3A3.A3.2A304.2A8.3A71.2A$27.2A76.3A393.2A$23.A$22.2A$22.
A.A$417.A$416.A$416.3A3$113.2A300.2A$113.2A300.2A7$19.2A88.2A308.2A
88.2A$19.2A88.2A308.2A88.2A6$452.A$452.2A$219.2A89.A140.A.A$219.2A87.
2A.A$302.3A2.A3.A$305.A5.A$27.2A54.A17.2A115.2A86.A.A.2A115.2A72.2A$
27.2A53.2A17.2A111.A2.A2.A82.A4.A.A.A114.2A72.2A$82.A.A127.2A.4A.A83.
3A.A.A.A$212.A2.2A2.A3.3A80.2A3.A$212.2A9.A2.A$224.A.2A9.A55.A$209.2A
18.A.3A3.A54.3A$209.2A13.4A.A7.A53.A.A.A$209.A2.A10.A3.2A62.A.A.A$
153.A.A54.A2.A10.A2.A64.3A19.2A$154.2A53.A4.A9.A2.A65.A19.A3.A$154.A
55.A3.2A9.3A85.A5.A$213.2A99.2A.A.A$201.A11.A101.A4.A$201.A.A111.A4.A
$201.2A112.A4.A47.A.A$316.3A49.2A$369.A$19.2A88.2A108.2A88.2A108.2A
88.2A$19.2A88.2A108.2A88.2A23.A84.2A88.2A$332.A.A$333.2A2$392.A$392.
2A$391.A.A4$143.A$142.2A$27.2A72.2A39.A.A82.2A72.2A124.2A72.2A$27.2A
72.2A124.2A72.2A124.2A72.2A$58.A$57.A$57.3A3$243.A.A$244.2A231.A$244.
A233.A$476.3A3$278.A.A$278.2A$279.A2$85.A$19.2A65.2A21.2A108.2A88.2A
108.2A88.2A$19.2A64.2A22.2A108.2A88.2A108.2A88.2A4$438.A$436.2A$437.
2A6$27.2A72.2A124.2A72.2A124.2A72.2A$27.2A72.2A124.2A72.2A124.2A72.2A
17$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A
8$508.2A$506.A.A.A$501.A3.4A2.A$500.2A9.A$227.2A72.2A196.2A.A6.A.A$
227.2A72.2A197.A.A6.2A$501.2A3$22.3A483.2A$22.A2.A$21.A2.2A$21.2A$
509.2A$25.A483.2A$26.2A$25.2A3$426.3A$425.A2.A69.A$104.A320.A3.A66.2A
$103.A.A113.2A88.2A113.2A2.A68.2A13.A$219.2A88.2A115.A85.2A$101.A2.A
322.2A82.A.A$100.A5.A4.2A304.2A8.3A$27.2A72.3A3.A3.2A304.2A8.3A71.2A$
27.2A76.3A393.2A$23.A$22.2A$22.A.A$417.A$416.A$294.A121.3A$293.A.A2$
113.2A300.2A$113.2A300.2A7$19.2A88.2A308.2A88.2A$19.2A88.2A308.2A88.
2A6$452.A$452.2A$219.2A89.A140.A.A$219.2A87.2A.A$302.3A2.A3.A$305.A5.
A$27.2A54.A17.2A115.2A86.A.A.2A115.2A72.2A$27.2A53.2A17.2A111.A2.A2.A
82.A4.A.A.A114.2A72.2A$82.A.A127.2A.4A.A83.3A.A.A.A$212.A2.2A2.A3.3A
80.2A3.A$212.2A9.A2.A$224.A.2A9.A55.A$209.2A18.A.3A3.A54.3A$209.2A13.
4A.A7.A53.A.A.A$209.A2.A10.A3.2A62.A.A.A$153.A.A54.A2.A10.A2.A64.3A
19.2A$154.2A53.A4.A9.A2.A65.A19.A3.A$154.A55.A3.2A9.3A85.A5.A$213.2A
99.2A.A.A$201.A11.A101.A4.A$201.A.A111.A4.A$201.2A112.A4.A47.A.A$316.
3A49.2A$369.A$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A
23.A84.2A88.2A$332.A.A$333.2A2$392.A$392.2A$391.A.A4$143.A$142.2A$27.
2A72.2A39.A.A82.2A72.2A124.2A72.2A$27.2A72.2A124.2A72.2A124.2A72.2A$
58.A$57.A$57.3A3$243.A.A$244.2A231.A$244.A233.A$476.3A3$278.A.A$278.
2A$279.A2$85.A$19.2A65.2A21.2A108.2A88.2A108.2A88.2A$19.2A64.2A22.2A
108.2A88.2A108.2A88.2A4$438.A$436.2A$437.2A6$27.2A72.2A124.2A72.2A
124.2A72.2A$27.2A72.2A124.2A72.2A124.2A72.2A17$19.2A88.2A108.2A88.2A
108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.2A12$227.2A72.2A$227.2A72.
2A17$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A88.
2A8$508.2A$506.A.A.A$294.A206.A3.4A2.A$293.A.A204.2A9.A$499.2A.A6.A.A
$500.A.A6.2A$501.2A3$22.3A483.2A$22.A2.A$21.A2.2A$21.2A$509.2A$25.A
483.2A$26.2A$25.2A3$426.3A$425.A2.A69.A$104.A320.A3.A66.2A$103.A.A
113.2A88.2A113.2A2.A68.2A13.A$219.2A88.2A115.A85.2A$101.A2.A322.2A82.
A.A$100.A5.A4.2A304.2A8.3A$27.2A72.3A3.A3.2A304.2A8.3A71.2A$27.2A76.
3A393.2A$23.A$22.2A$22.A.A$417.A$416.A$416.3A3$113.2A300.2A$113.2A
300.2A7$19.2A88.2A308.2A88.2A$19.2A88.2A308.2A88.2A6$452.A$452.2A$
219.2A89.A140.A.A$219.2A87.2A.A$302.3A2.A3.A$305.A5.A$27.2A54.A17.2A
115.2A86.A.A.2A115.2A72.2A$27.2A53.2A17.2A111.A2.A2.A82.A4.A.A.A114.
2A72.2A$82.A.A127.2A.4A.A83.3A.A.A.A$212.A2.2A2.A3.3A80.2A3.A$212.2A
9.A2.A$224.A.2A9.A55.A$209.2A18.A.3A3.A54.3A$209.2A13.4A.A7.A53.A.A.A
$209.A2.A10.A3.2A62.A.A.A$153.A.A54.A2.A10.A2.A64.3A19.2A$154.2A53.A
4.A9.A2.A65.A19.A3.A$154.A55.A3.2A9.3A85.A5.A$213.2A99.2A.A.A$201.A
11.A101.A4.A$201.A.A111.A4.A$201.2A112.A4.A47.A.A$316.3A49.2A$369.A$
19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A23.A84.2A88.2A$
332.A.A$333.2A2$392.A$392.2A$391.A.A4$143.A$142.2A$27.2A72.2A39.A.A
82.2A72.2A124.2A72.2A$27.2A72.2A124.2A72.2A124.2A72.2A$58.A$57.A$57.
3A3$243.A.A$244.2A231.A$244.A233.A$476.3A3$278.A.A$278.2A$279.A2$85.A
$19.2A65.2A21.2A108.2A88.2A108.2A88.2A$19.2A64.2A22.2A108.2A88.2A108.
2A88.2A4$438.A$436.2A$437.2A6$27.2A72.2A124.2A72.2A124.2A72.2A$27.2A
72.2A124.2A72.2A124.2A72.2A17$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A
88.2A108.2A88.2A108.2A88.2A8$508.2A$506.A.A.A$501.A3.4A2.A$500.2A9.A$
227.2A72.2A196.2A.A6.A.A$227.2A72.2A197.A.A6.2A$501.2A3$22.3A483.2A$
22.A2.A$21.A2.2A$21.2A$509.2A$25.A483.2A$26.2A$25.2A3$426.3A$425.A2.A
69.A$104.A320.A3.A66.2A$103.A.A113.2A88.2A113.2A2.A68.2A13.A$219.2A
88.2A115.A85.2A$101.A2.A322.2A82.A.A$100.A5.A4.2A304.2A8.3A$27.2A72.
3A3.A3.2A304.2A8.3A71.2A$27.2A76.3A393.2A$23.A$22.2A$22.A.A$417.A$
416.A$294.A121.3A$293.A.A2$113.2A300.2A$113.2A300.2A7$19.2A88.2A308.
2A88.2A$19.2A88.2A308.2A88.2A6$452.A$452.2A$219.2A89.A140.A.A$219.2A
87.2A.A$302.3A2.A3.A$305.A5.A$27.2A54.A17.2A115.2A86.A.A.2A115.2A72.
2A$27.2A53.2A17.2A111.A2.A2.A82.A4.A.A.A114.2A72.2A$82.A.A127.2A.4A.A
83.3A.A.A.A$212.A2.2A2.A3.3A80.2A3.A$212.2A9.A2.A$224.A.2A9.A55.A$
209.2A18.A.3A3.A54.3A$209.2A13.4A.A7.A53.A.A.A$209.A2.A10.A3.2A62.A.A
.A$153.A.A54.A2.A10.A2.A64.3A19.2A$154.2A53.A4.A9.A2.A65.A19.A3.A$
154.A55.A3.2A9.3A85.A5.A$213.2A99.2A.A.A$201.A11.A101.A4.A$201.A.A
111.A4.A$201.2A112.A4.A47.A.A$316.3A49.2A$369.A$19.2A88.2A108.2A88.2A
108.2A88.2A$19.2A88.2A108.2A88.2A23.A84.2A88.2A$332.A.A$333.2A2$392.A
$392.2A$391.A.A4$143.A$142.2A$27.2A72.2A39.A.A82.2A72.2A124.2A72.2A$
27.2A72.2A124.2A72.2A124.2A72.2A$58.A$57.A$57.3A3$243.A.A$244.2A231.A
$244.A233.A$476.3A3$278.A.A$278.2A$279.A2$85.A$19.2A65.2A21.2A108.2A
88.2A108.2A88.2A$19.2A64.2A22.2A108.2A88.2A108.2A88.2A4$438.A$436.2A$
437.2A6$27.2A72.2A124.2A72.2A124.2A72.2A$27.2A72.2A124.2A72.2A124.2A
72.2A17$19.2A88.2A108.2A88.2A108.2A88.2A$19.2A88.2A108.2A88.2A108.2A
88.2A!
I'll have a look and see if anything else is possible at 90:110...

EDIT: Yes, no problem at all -- one of the big advantages of wider spacing is that there's a lot more adjustability. Here's the extreme case, moving the outer Herschel climber several blocks up its trail:

Code: Select all

x = 523, y = 812, rule = B3/S23
13b2o88b2o308b2o88b2o$13b2o88b2o308b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o30$13b2o88b2o108b2o88b2o
108b2o88b2o$13b2o88b2o108b2o88b2o108b2o88b2o6$16bo$16b2o$6b2o3b2o3bobo
$5bo2b2o3bo3b2o7b2o$5b2ob2o4b3o7b2o2bo$obo5b2o13bo5bo$2o3bobo7b2o6bo2b
2o2bo$bo3bo10b2o5b3ob2ob2o$16b2o10bo2bo$16bo11b2obo$17bo11b2o5$13b2o$
13b2o8$103b2o108b2o88b2o108b2o88b2o$103b2o108b2o88b2o108b2o88b2o3$21b
2o$21b2o10bo$34bo$32b3o15$13b2o$13b2o8$103b2o108b2o88b2o108b2o88b2o$
103b2o108b2o88b2o108b2o88b2o3$21b2o$21b2o17$13b2o$13b2o8$103b2o108b2o
88b2o108b2o88b2o$103b2o108b2o88b2o108b2o88b2o3$21b2o482bo$21b2o481b2o$
503b2o3b2o$498b2o8bob2o$497bobo7bo4bo$486bo12bo$486bo3b3o2b2o12bo3bo$
486bo7b2o3bo13b2o$416b3o79bobo$416bo2bo77bo$415bo4bo67b2o7bo2bo8b6o$
418bo78b2o10bobo$510bo10bo$416b2o92bo11bo$416bobo101b3o$96bo319bobo99b
3o$94b6o418b2o$94b2o2b2o312bo104bobo$13b2o399bo88b2o$13b2o83bo314b2o
88b2o$94b2o2bo$5bo88b2o3bo$4b2o92bo324bo$4bobo89bobo325bo$97bo324b3o3$
213b2o88b2o$213b2o88b2o2$105b2o$21b2o84bo313b2o72b2o$21b2o82b3o313b2o
72b2o$107bo$105bo2bo2$105bobo$480bo$478b2o$479b2o5$458bo$458b2o$457bob
o3$13b2o88b2o308b2o88b2o$13b2o50bo37b2o308b2o88b2o$64b2o$64bobo4$212bo
$211b3o$210bo3b2o$211b5o$216bo$92bo117b2o3bo$21b2o68bob4o113b2o2b2o
205b2o72b2o$21b2o69b2o118b2o86b3o118b2o72b2o$222bo77bobo$222bo77bobo2b
3o$222bo74b2ob2o$298bobo$299bo4$209b2o96b2o$209b2o96b2o89bo$398b2o$
397bobo4$125bo$13b2o88b2o19b2o87b2o88b2o108b2o88b2o$13b2o88b2o19bobo
86b2o88b2o108b2o88b2o2$159bobo$160b2o$160bo2$183bo$183bobo$183b2o165bo
bo$350b2o$351bo2$21b2o198b2o72b2o43bo80b2o72b2o$21b2o198b2o72b2o41bobo
80b2o72b2o$339b2o12$40bo$39bo$39b3o2$13b2o88b2o108b2o88b2o108b2o88b2o$
13b2o88b2o108b2o34bobo51b2o108b2o88b2o$250b2o231bo$250bo233bo$482b3o3$
260bobo$260b2o$261bo3$428b3o$21b2o198b2o72b2o132b2o64b2o$21b2o198b2o
72b2o198b2o17$13b2o88b2o108b2o88b2o108b2o88b2o$13b2o88b2o108b2o88b2o
108b2o88b2o12$221b2o72b2o$221b2o72b2o!
You can build blocks, half-blockades, beehives, and quite a few other things at several different distances from the left or right tracks. Really there's no need to reach this far out to start a slow salvo, but it might be worth thinking about building additional block trails (e.g., for a backup track) starting with one of these targets.

-- But really I think it makes sense to complete a 31c/240 spaceship with the simplest possible technology, even if it's ridiculously long. Someone can always build a shorter one later, if solving primary/backup track synchronization still looks like an interesting problem...!

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 8:56 am

dvgrn wrote:You can build blocks, half-blockades, beehives, and quite a few other things at several different distances from the left or right tracks.
Looks like the complete list of constructible stuff is

List 1: loaf+blinker, block, pi-mess, pi-period-double, half-blockade, big-mess, beehive, null, block, eater, tub+block+loaf+blinker, two-beehive (teardrop), honeyfarm, honeyfarm, null, pond, honeyfarm, big-spark null, interchange

-- and then the same in reverse (mirror image across a horizontal line).

If you move the outside Herschel climber up one block, that changes the relative colors of the two colliding gliders, so you get a different series of collisions, in a column 15.5 cells (so to speak) to the left of the original construction point:

List 2: loaf+blinker, forward kickback, traffic light, null, null, null, block, traffic light, offset blinker, LOM, null, null, null, null, traffic light plus backward glider, null, blinker, B-heptomino, bi-block

-- and then the same in reverse again -- i.e., backward kickback, traffic light plus forward glider, etc. Then 31 columns to the left you're back to being able to build List 1 but not List 2, and so on until you run out of adjustability.

Technically you could build a lot more starting targets by constructing two or more objects with successive side-puffers:

Code: Select all

x = 556, y = 976, rule = B3/S23
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o30$
50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o5$49b
2o$41b2o6bobo$41bo2b2o3bobo$44bob2ob2o4b2o$49b2obobob2o6b4o$39bo2b2obo
bo2bo5b2ob3ob2o3bo$40bo2b3o5bo4bo6bo3b2o$41b3obo7bo2bo7b2o$45bo8bobo$
34bo8b3o9bo8b3o$34bobo26b2o$34b2o5$50b2o$50b2o8$140b2o108b2o88b2o108b
2o88b2o$140b2o108b2o88b2o108b2o88b2o3$58b2o$58b2o4$72bobo$73b2o$73bo
11$50b2o$50b2o8$140b2o108b2o88b2o108b2o85b3o$140b2o108b2o88b2o108b2o
83b4o2b2o$534bobob5o$535b2o6bo$58b2o473b6o2b3o$58b2o473b2obobob2obo$
533bo2bo$534b4o2b2o$449b3o$447bo3b2o71b2o$449bobo70bo2bo$445b4o2b2o5bo
4b2o58b3o23b2o$444b2o5b2o2bob3o3bobo64b2o15b2o2b2obo$137bo307bobo3b2o
2b2o4bo3bo79b2o5bo2bo$136b3o307b2o7b5o4b2o83b2o4bo$135bo2bo317bo2bo80b
o4bo4bob3o$o133b3o2b2o320bo82bo4b2obo$3o132bo2b3o399bo2bo2bo2b2o$3bo
132b2o2b2o404bo$2b2o135b3o402bobo$37bo98b4obo403bo$36b2o98b2o2b2o$36bo
bo11b2o87b2o309b2o88b2o$50b2o398b2o88b2o2$132bo$131bo$131b3o4$250b2o
88b2o123bo$250b2o88b2o124bo$464b3o2$58b2o72b2o324b2o72b2o$58b2o72b2o
324b2o72b2o7$500bo$500b2o$499bobo$512bo$o509b2o$3o508b2o$3bo93bo$2b2o
92b2o$96bobo2$50b2o88b2o308b2o88b2o$50b2o88b2o308b2o88b2o8$130b2o$129b
3o$127b3o204b3o$126bobo126b2o80bo4b2o$58b2o66bo2bo125b3o74bo4bo4b2o
114b2o72b2o$58b2o66bob2obo122b2o2bo72bo4bo121b2o72b2o$127b2o3bo120b3o
76bo$129b3o115b3o4b3o74b4obo$130b2o123bo75bo4b2o$332bo3bo$331b2ob2o
104bo$332bobo105b2o$333bo105bobo2$246b2o96b2o$246b2o96b2o$o156bo$3o
153b2o$3bo152bobo$2b2o3$50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b2o
108b2o88b2o108b2o88b2o7$201bobo$202b2o$202bo2$215bo$58b2o155bobo40b2o
72b2o124b2o72b2o$58b2o155b2o41b2o72b2o48bobo73b2o72b2o$382b2o$383bo2$
382bo$380bobo$381b2o5$o$3o$3bo$2b2o3$50b2o88b2o108b2o88b2o108b2o88b2o$
50b2o20bo67b2o108b2o88b2o108b2o88b2o$71bo$71b3o3$291bobo$292b2o231bo$
292bo233bo$524b3o3$292bobo$58b2o198b2o32b2o38b2o198b2o$58b2o198b2o33bo
38b2o198b2o11$o$3o$3bo$2b2o3$50b2o88b2o108b2o88b2o108b2o88b2o$50b2o88b
2o108b2o88b2o108b2o88b2o8$42b2o6b2obo$40bo3bo5bo2b2o$39bo5bo4bo5bo7bo$
39bo4bo7b3o8b2o$39bo2bo10b2o3bo3b2o194b2o72b2o$40bobo13bobo4bo194b2o
72b2o$41bo12bo9bob3o$54bo11b3o$49b2o3bo5$50b2o$50b2o2$o$3o$3bo$2b2o3$
140b2o108b2o88b2o108b2o88b2o$140b2o108b2o88b2o108b2o88b2o3$58b2o8bo$
58b2o9b2o$68b2o16$50b2o$50b2o2$o$3o$3bo$2b2o3$140b2o108b2o88b2o108b2o
85b3o$140b2o108b2o88b2o108b2o83b4o2b2o$534bobob5o$535b2o6bo$58b2o473b
6o2b3o$58b2o473b2obobob2obo$533bo2bo$534b4o2b2o$449b3o$447bo3b2o71b2o$
449bobo70bo2bo$445b4o2b2o5bo4b2o58b3o23b2o$444b2o5b2o2bob3o3bobo64b2o
15b2o2b2obo$137bo307bobo3b2o2b2o4bo3bo79b2o5bo2bo$136b3o307b2o7b5o4b2o
83b2o4bo$135bo2bo317bo2bo80bo4bo4bob3o$2b2o130b3o2b2o320bo82bo4b2obo$
3bo131bo2b3o399bo2bo2bo2b2o$3o133b2o2b2o404bo$o138b3o402bobo$37bo98b4o
bo403bo$36b2o98b2o2b2o$36bobo11b2o87b2o309b2o88b2o$50b2o398b2o88b2o2$
132bo$131bo$131b3o4$250b2o88b2o123bo$250b2o88b2o124bo$464b3o2$58b2o72b
2o324b2o72b2o$58b2o72b2o324b2o72b2o7$500bo$500b2o$499bobo$512bo$510b2o
$511b2o$97bo$96b2o$96bobo2$50b2o88b2o308b2o88b2o$50b2o88b2o308b2o88b2o
10$128bo205b3o$129b2o124b2o80bo4b2o$58b2o68b2o2b2o121b3o74bo4bo4b2o
114b2o72b2o$58b2o72b2o120b2o2bo72bo4bo121b2o72b2o$253b3o76bo$247b3o4b
3o74b4obo$255bo75bo4b2o$332bo3bo$331b2ob2o104bo$332bobo105b2o$333bo
105bobo2$246b2o96b2o$246b2o96b2o$157bo$156b2o$156bobo4$50b2o88b2o108b
2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o7$201bobo$202b2o$
202bo2$215bo$58b2o155bobo40b2o72b2o124b2o72b2o$58b2o155b2o41b2o72b2o
48bobo73b2o72b2o$382b2o$383bo2$382bo$380bobo$381b2o11$50b2o88b2o108b2o
88b2o108b2o88b2o$50b2o20bo67b2o108b2o88b2o108b2o88b2o$71bo$71b3o3$291b
obo$292b2o231bo$292bo233bo$524b3o3$292bobo$58b2o198b2o32b2o38b2o198b2o
$58b2o198b2o33bo38b2o198b2o17$50b2o88b2o108b2o88b2o108b2o88b2o$50b2o
88b2o108b2o88b2o108b2o88b2o12$258b2o72b2o$258b2o72b2o17$50b2o88b2o108b
2o88b2o108b2o88b2o$50b2o88b2o108b2o88b2o108b2o88b2o!
By putting rephasers between the two puffers you can get somewhat arbitrary vertical spacing. Lots of potential for collisions, of course. Horizontal spacing isn't so adjustable, just +/-31 cells in a limited range -- unless you throw in slow salvos, which gets you back to universality (mod 31).

Anyway, no need to worry about getting a slow-salvo target by Heisenburping an HWSS stream, I guess -- it was fun while it lasted...

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 10:04 am

dvgrn wrote:... traffic light plus backward glider...
The mirror-image version of this is tantalizingly close to a forward rake. It only takes one glider to clean up a traffic light... but unfortunately I think the only workable spacing is just a bit too close to the block trails:

Code: Select all

x = 500, y = 1662, rule = B3/S23
4b2o88b2o308b2o88b2o$4b2o88b2o308b2o88b2o30$4b2o88b2o108b2o88b2o108b2o
88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b
2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$
4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o
88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b
2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o
108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b
2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o
88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b
2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o
108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b
2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o
88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b
2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o
30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$
4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o
88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b
2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o
108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b
2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o
88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b
2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o
108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b
2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o
88b2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b
2o$4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$
4b2o88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o
88b2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b
2o108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o
108b2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b
2o88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o
88b2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b
2o108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o
108b2o88b2o30$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b
2o88b2o23$11b3o$10bo3bo2$9bo$10b5o$13bo2$94b2o108b2o88b2o108b2o88b2o$
94b2o108b2o88b2o108b2o88b2o2$2b2o$2b2o8b2o$12b2o5$2bo$bobo$3b2o$2obo$o
2bo$b2o488bo$490b3o$489bo2b2o$489bob2o$491b2ob2o$488bo5bo$489bo4bo$4b
2o484bo2bo$4b2o486bo$487bo$486bo$486b3o4$410bo$204b2o88b2o114bo$91b2o
111b2o88b2o114bo$92bo$89bo3bo2b2o304b2o7b3o$12b2o74b2o2bo3b2o304b2o7bo
bo72b2o$12b2o72b2o318bobo2b3o72b2o4b2o$86b2ob2o315b2o83bobo$407bo85bo$
85b2ob2o$85b2ob2o$87bo$12b2o$12bobo$12bo$98b2o300b2o$98b2o300b2o7$4b2o
88b2o308b2o88b2o$4b2o88b2o308b2o88b2o8$204b2o88b2o$204b2o88b2o2$432b2o
$12b2o72b2o207b5o112b2o17bobo52b2o$12b2o72b2o201b4obobo3b2o110b2o19bo
52b2o$288bo5bo5b2o$206b3o77b2o2b2o2b4obo$135bo62bo7bo75bo3b2obo2bo3bo$
72b2o59bobo61b4ob2obobo9bo64bo2b2o3b2o12bo$72bobo59b2o60bo2b3obobo3bo
5bo3bo56b3o3bo2b2ob2obo10b3o$72bo122b3o3b2o4b2o11bo62b7o2bo8b3obo$192b
o3bobobo4bo7b2o5b2o62b7obo7b2o5b2o$190b2o4b3o7b2o5bo8bo65bo3bo6bob2o2b
o$191b2o5bo7bo6bo4bobo67bo9bo4b3o52bo$63bobo148b3o3bo2bo62b2o9b2o4b3o
52bobo$64b2o153bo2b2o63bo10b4o56b2o$64bo154b3o65bobo9b3o$220bo67bo11b
2o11bo$314b2o$313b2o2$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o
88b2o108b2o88b2o9$372b2o$47bobo321bobo$47b2o324bo$12b2o34bo37b2o124b2o
72b2o124b2o72b2o$12b2o72b2o124b2o72b2o124b2o72b2o$225bo$132b2o89bobo$
132bobo89b2o230bobo$132bo324b2o$457bo2$268bo$268bobo$268b2o8$4b2o88b2o
108b2o88b2o108b2o21bo66b2o$4b2o88b2o108b2o88b2o108b2o20bo67b2o$426b3o
11$12b2o198b2o72b2o124b2o72b2o$12b2o198b2o72b2o124b2o72b2o17$4b2o88b2o
108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o12$212b2o72b2o$
212b2o72b2o17$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b
2o88b2o9$284bo$283bobo$282bo3b2o$282bob4o18$4b2o88b2o108b2o88b2o108b2o
88b2o$4b2o88b2o108b2o88b2o108b2o88b2o29$402b3o$204b2o88b2o106bo2bo82b
3o$6b3o85b3o107b2o88b2o106b2ob2o81b2o$6b3o78b2o3b2ob2o309bo79b2o3bo$4b
2o81b2obo2b2o304bo2b2ob2o79b2obobo4b2o$2b2o4bo79b4obo2bo303bob4o80b2o
3b2o3b2o$9bo78b2obobobobo392b2o$bo9bo78b2obobobo$bo2bobo3bobo79bo3bo
315b3o$13bo$6bo6bo$6bo70b3o$8bo3bo63bo3bo$9b2o65bo3bo$77b3o19b2o384b2o
$2o96bo2bo5bo292b2o96b2o$2o96bob3obo3bo291b2o96b2o$99b2ob3o$107bo$101b
5o$100b5o2$476bo$4b2o88b2o308b2o70b2o16b2o$4b2o88b2o21bobo284b2o69bobo
16b2o$118b2o$118bo2$29bo$28b2o$28bobo343bobo$374b2o$204b2o88b2o79bo$
204b2o88b2o3$12b2o72b2o324b2o72b2o$12b2o72b2o324b2o72b2o6$291bo$290b3o
$289b2ob2o$289bo2$64bo226bo$63bo227b2o$63b3o224bob2o$210bobo203bo$209b
o4bo201b2o$209bo4bo200bobo$4b2o88b2o113b2o83bo109b2o35bo52b2o$4b2o88b
2o198b2o108b2o36bo51b2o$209b2o2b2o225b3o$89bo119b2o2b2o$88b2o119b3obo$
88bobo119bo73bobo$211bo72b2o$285bo2$49bo$50b2o$49b2o$202bo$12b2o72b2o
113bo10b2o72b2o124b2o72b2o$12b2o72b2o112b2o10b2o72b2o124b2o72b2o$200b
2obo240bo$442b2o$202bo240b2o9$356bo$356b2o$355bobo3$4b2o88b2o108b2o88b
2o108b2o88b2o$4b2o88b2o53bo54b2o88b2o108b2o88b2o$148b2o$148bobo10$12b
2o72b2o124b2o72b2o124b2o72b2o$12b2o72b2o124b2o72b2o124b2o72b2o17$4b2o
88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o12$212b2o
72b2o$212b2o72b2o17$4b2o88b2o108b2o88b2o108b2o88b2o$4b2o88b2o108b2o88b
2o108b2o88b2o29$402b3o$204b2o88b2o106bo2bo82b3o$6b3o85b3o107b2o88b2o
106b2ob2o81b2o$6b3o78b2o3b2ob2o309bo79b2o3bo$4b2o81b2obo2b2o304bo2b2ob
2o79b2obobo4b2o$2b2o4bo79b4obo2bo303bob4o80b2o3b2o3b2o$9bo78b2obobobob
o392b2o$bo9bo78b2obobobo$bo2bobo3bobo79bo3bo315b3o$13bo$6bo6bo$6bo70b
3o$8bo3bo63bo3bo$9b2o65bo3bo$77b3o19b2o384b2o$2o96bo2bo5bo292b2o96b2o$
2o96bob3obo3bo291b2o96b2o$99b2ob3o$107bo$101b5o$100b5o2$476bo$4b2o88b
2o308b2o70b2o16b2o$4b2o88b2o21bobo284b2o69bobo16b2o$118b2o$118bo2$29bo
$28b2o$28bobo343bobo$374b2o$204b2o88b2o79bo$204b2o88b2o3$12b2o72b2o
324b2o72b2o$12b2o72b2o324b2o72b2o6$291bo$290b3o$289b2ob2o$289bo2$64bo
226bo$63bo227b2o$63b3o224bob2o$210bobo203bo$209bo4bo201b2o$209bo4bo
200bobo$4b2o88b2o113b2o83bo109b2o35bo52b2o$4b2o88b2o198b2o108b2o36bo
51b2o$209b2o2b2o225b3o$89bo119b2o2b2o$88b2o119b3obo$88bobo119bo73bobo$
211bo72b2o$285bo2$49bo$50b2o$49b2o$202bo$12b2o72b2o113bo10b2o72b2o124b
2o72b2o$12b2o72b2o112b2o10b2o72b2o124b2o72b2o$200b2obo240bo$442b2o$
202bo240b2o9$356bo$356b2o$355bobo3$4b2o88b2o108b2o88b2o108b2o88b2o$4b
2o88b2o53bo54b2o88b2o108b2o88b2o$148b2o$148bobo10$12b2o72b2o124b2o72b
2o124b2o72b2o$12b2o72b2o124b2o72b2o124b2o72b2o17$4b2o88b2o108b2o88b2o
108b2o88b2o$4b2o88b2o108b2o88b2o108b2o88b2o12$212b2o72b2o$212b2o72b2o!
If you try to move out to the next construction column, 31 cells to the left, there's an awkward interaction with an interior block-killing glider that I don't yet see how to work around (without moving out to 90:172, anyway -- that would certainly work.)

More later -- no time to experiment today. One thing worth trying is to see if the first following rephaser can be adjusted to puff something that will destroy that traffic light, or at least push it a little farther away. The odds don't look too bad -- we can try basically all of List 2, twice, because the results will be different for even or odd phases of the traffic light. We could also build anything on List 2 with another puffer before the dirty-rake one, at a +9 offset I think, if that turns out to help with suppression.

EDIT: Hmm, there may be easier ways to get a forward rake. If we can side-puff a block first (for example), we can arrange the next rephaser so that its backward glider hits the block and is annihilated, allowing the forward suppression glider to escape. Anyone care to build one of these while I'm busy with Real Life today?

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 2:27 pm

dvgrn wrote:If we can side-puff a block first (for example), we can arrange the next rephaser so that its backward glider hits the block and is annihilated, allowing the forward suppression glider to escape.
Lunch hour! Here's the kind of thing I'm talking about:

Code: Select all

x = 672, y = 949, rule = B3/S23
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o30$
172b2o88b2o108b2o88b2o108b2o88b2o$172b2o88b2o108b2o88b2o108b2o88b2o18$
180bo$179b2o$178bo2bo$178bobo$178bo2bo$178bo2bo$179bobo$178b3o5$262b2o
108b2o88b2o108b2o88b2o$262b2o108b2o88b2o108b2o88b2o2$170b2o$170b2o8b2o
$180b2o2$168b3o$168b3o$167b4o$165b2obo$165b2ob2o$165b5o2b2o$166b3o$
166bo8$172b2o$172b2o8$262b2o108b2o88b2o108b2o88b2o$262b2o108b2o88b2o
108b2o88b2o3$180b2o$180b2o4$659bobo$659bob2o$658b2o2b2o$653b3o7b2o$
653bo8b2o$126bo526bobo6bo$125bobo526b2o$125bobo$126bo534bo$662bo$121b
2o7b2o529bo$120bo2bo5bo2bo$121b2o7b2o$172b2o488b2o$126bo45b2o488b2o$
125bobo$125bobo$126bo2$580bo$579b3o68bo$578b2o2bo67bobo$256b3o113b2o
88b2o114bo3bo67b2o$256b2o114b2o88b2o114bobo83b3o$254b2o3bo406bo$254b2o
bobo4b2o304b2o7b2ob2o81bo$180b2o72b2o3b2o3b2o304b2o9bo72b2o$180b2o76b
2o394b2o2$175b3o$175bo$176bo394bo$569b2o$570b2o2$253b2o$126bo139b2o
300b2o$125bobo138b2o300b2o$125bobo$126bo$234bobo$121b2o7b2o103b2o$120b
o2bo5bo2bo102bo$121b2o7b2o$172b2o88b2o308b2o88b2o$126bo45b2o88b2o308b
2o88b2o$125bobo$125bobo$126bo4$604b3o$372b2o232bo$372b2o88b3o140bo$
455b2o3b2ob2o$455b2obo2b2o$180b2o72b2o115b2o83b4obo2bo115b2o72b2o$180b
2o53b3o16b2o115bobo82b2obobobobo114b2o72b2o$235bo130b3o2b3o84b2obobobo
$236bo128b2ob2o7b2o81bo3bo$365bo10b2o$378bobo4bo$362b2o16b3o2bo3b3o53b
3o$362b2o13bo2b3o2bo58bo3bo$307bo69b2o65bo3bo$308bo54b4o10b3o65b3o19b
2o$126bo179b3o54b3obo11b2o85bo2bo5bo$125bobo235bo3bo10b2o86bob3obo3bo$
125bobo237b3o99b2ob3o$126bo227bobo118bo$354b2o113b5o48bo$121b2o7b2o
223bo112b5o48bo$120bo2bo5bo2bo388b3o$121b2o7b2o$172b2o88b2o108b2o88b2o
108b2o88b2o$126bo45b2o88b2o108b2o88b2o21bobo84b2o88b2o$125bobo358b2o$
125bobo358bo$126bo2$544b3o$546bo$545bo4$295b3o$180b2o113bo84b2o72b2o
124b2o72b2o$180b2o114bo83b2o72b2o124b2o72b2o$212bo$210b2o$211b2o2$397b
o$398bo$396b3o230bo$630b2o$126bo502b2o$125bobo$125bobo304bo$126bo304bo
$431b3o$121b2o7b2o$120bo2bo5bo2bo$121b2o7b2o$172b2o88b2o108b2o88b2o
108b2o88b2o$126bo45b2o88b2o108b2o88b2o108b2o88b2o$125bobo$125bobo$126b
o$590bo$590bobo$590b2o6$180b2o198b2o72b2o124b2o72b2o$180b2o198b2o72b2o
124b2o72b2o9$126bo$125bobo$125bobo$126bo2$121b2o7b2o$120bo2bo5bo2bo$
121b2o7b2o$172b2o88b2o108b2o88b2o108b2o88b2o$126bo45b2o88b2o108b2o88b
2o108b2o88b2o$125bobo$125bobo$126bo9$380b2o72b2o$380b2o72b2o5$179bobo$
178bo2bo$177b2o3bo$182bo$126bo$125bobo49b3o2bo$125bobo53b2o$126bo51b3o
$178b3o$121b2o7b2o$120bo2bo5bo2bo$121b2o7b2o$262b2o108b2o88b2o108b2o
88b2o$126bo135b2o108b2o88b2o108b2o88b2o$125bobo$125bobo42b2o$126bo43b
2o8b2o$170bo9b2o$169bo$169b2o$169b3o$170b2o$165bo$447bo$446bobo$446bob
o9$172b2o$126bo45b2o$125bobo$125bobo$126bo2$121b2o7b2o$120bo2bo5bo2bo$
121b2o7b2o$262b2o108b2o88b2o108b2o88b2o$126bo135b2o108b2o88b2o108b2o
88b2o$125bobo$125bobo$126bo53b2o$180b2o4$659bobo$659bob2o$658b2o2b2o$
653b3o7b2o$653bo8b2o$653bobo6bo$654b2o2$661bo$662bo$661bo3$172b2o488b
2o$126bo45b2o488b2o$116bo8bobo$115bo9bobo$115b3o8bo2$121b2o7b2o448bo$
120bo2bo5bo2bo446b3o68bo$121b2o7b2o125bo320b2o2bo67bobo$257bo114b2o88b
2o114bo3bo67b2o$126bo130bo114b2o88b2o114bobo83b3o$125bobo538bo$125bobo
125bo2bo7b2o304b2o7b2ob2o81bo$126bo53b2o72b2o2bobo3b2o304b2o9bo72b2o$
180b2o73bo3b2o393b2o$259bo3$571bo$569b2o$570b2o3$266b2o300b2o$266b2o
300b2o3$235bo$236b2o$235b2o2$172b2o88b2o308b2o88b2o$126bo45b2o88b2o
308b2o88b2o$125bobo$125bobo$126bo2$121b2o7b2o$120bo2bo5bo2bo$121b2o7b
2o472b3o$372b2o232bo$126bo245b2o88b3o140bo$125bobo327b2o3b2ob2o$125bob
o327b2obo2b2o$126bo53b2o72b2o115b2o83b4obo2bo115b2o72b2o$180b2o72b2o
115bobo82b2obobobobo114b2o72b2o$366b3o2b3o84b2obobobo$365b2ob2o7b2o81b
o3bo$365bo10b2o$378bobo4bo$362b2o16b3o2bo3b3o53b3o$362b2o13bo2b3o2bo
58bo3bo$377b2o65bo3bo$308bo54b4o10b3o65b3o19b2o$306bobo54b3obo11b2o85b
o2bo5bo$307b2o54bo3bo10b2o86bob3obo3bo$365b3o99b2ob3o$354bobo118bo$
354b2o113b5o48bo$355bo112b5o48bo$521b3o2$172b2o88b2o108b2o88b2o108b2o
88b2o$126bo45b2o88b2o108b2o88b2o21bobo84b2o88b2o$125bobo358b2o$125bobo
358bo$126bo2$121b2o7b2o412b3o$120bo2bo5bo2bo413bo$121b2o7b2o413bo2$
126bo$125bobo$125bobo$126bo53b2o198b2o72b2o124b2o72b2o$180b2o198b2o72b
2o124b2o72b2o2$210bobo$210b2o$211bo$397bo$398bo$396b3o230bo$630b2o$
629b2o2$432bo$431bo$431b3o4$56bo115b2o88b2o108b2o88b2o108b2o88b2o$55bo
70bo45b2o88b2o108b2o88b2o108b2o88b2o$55b3o67bobo$125bobo$126bo$590bo$
121b2o7b2o458bobo$120bo2bo5bo2bo457b2o$121b2o7b2o2$126bo$125bobo$125bo
bo$126bo53b2o198b2o72b2o124b2o72b2o$180b2o198b2o72b2o124b2o72b2o17$
172b2o88b2o108b2o88b2o108b2o88b2o$126bo45b2o88b2o108b2o88b2o108b2o88b
2o$125bobo$125bobo$126bo2$121b2o7b2o$120bo2bo5bo2bo$121b2o7b2o$175b2o$
126bo47bo$125bobo45bo3b3o$125bobo45bo2b5o$126bo46b2o5b2o198b2o72b2o$
179b2o199b2o72b2o$173b2o2$176bo$173b3o4$172b2o$172b2o5$183bo$184b2o$
183b2o$262b2o108b2o88b2o108b2o88b2o$126bo135b2o108b2o88b2o108b2o88b2o$
125bobo$125bobo$126bo53b2o$180b2o$121b2o7b2o$120bo2bo5bo2bo$121b2o7b2o
2$126bo$125bobo319bo$125bobo318bobo$126bo319bobo4$2b3o2$o5bo$o5bo$o5bo
$172b2o$2b3o167b2o8$262b2o108b2o88b2o108b2o88b2o$126bo135b2o108b2o88b
2o108b2o88b2o$125bobo$125bobo$126bo53b2o$180b2o$121b2o$51b3o66bo2bo$
51bo69b2o$52bo$126bo$125bobo$125bobo$126bo9$172b2o$172b2o8$262b2o108b
2o88b2o108b2o88b2o$126bo135b2o108b2o88b2o108b2o88b2o$125bobo$125bobo$
126bo53b2o$111b3o66b2o$111bo9b2o$112bo7bo2bo539bo$121b2o539bobo$661bo$
126bo524bo8b2o$125bobo532b2o6b4o$125bobo518b2o19bo3bo$126bo518b3o7b2o
10bo2b2o$646b2o7b2o2b3obo2bo2bo$647bo11b3obo2b3o$663bo2b3o6$172b2o405b
3o80b2o$172b2o405b3o80b2o$578bo2bo$578b3o$243bo335b2o$244b2o$243b2o
423b3o$670bo$669bo$372b2o88b2o$126bo128b2o115b2o88b2o$125bobo126b2obo
388bo$125bobo43b3o82bo7b2o304b2o74bobo$126bo44bo8b2o73b3o6b2o304b2o8b
2o64b2o6b2o$172bo7b2o73b3o322b2o72b2o$121b2o130b2ob2o$120bo2bo138bo$
121b2o140b2o$262b2o$126bo441b3o$125bobo439bo3bo$125bobo439b2o3bo$126bo
440bo4bo$266b2o300bo3bo$266b2o$569b2o6$172b2o88b2o308b2o88b2o$172b2o
88b2o308b2o88b2o3$608b3o$610bo$609bo4$231b3o138b5o84b5o$231bo139b2o5bo
82bobob2o$232bo138b2obo3b2o83bo3bo$180b2o189b2obo88b2ob3o111b2o72b2o$
180b2o189bo3bobobo76b2o5b2ob2o112b2o72b2o$372bobob2ob2o75b3o3bo2bo$
373bo5b2o5bo68bo2bo3b4o$378bo10b2o65b3o2bob2obo$384bo6bo64b2o3bo2b3o$
382b2o4b2obo70bob3o$364b2o16b2obo4bo$364bo18b2o$358b2o3bob2o$359bobobo
3b2o97b2o$361bobo5bo2bo93b2o$311bo50bob3ob2o3bo$312bo53bo3bobo$310b3o
55b4o$368b3o2$350bobo$172b2o88b2o86b2o20b2o88b2o54bo53b2o88b2o$172b2o
88b2o87bo20b2o88b2o53bo54b2o88b2o$517b3o28b3o$550bo$549bo$489bobo$490b
2o$490bo$291b3o$291bo$292bo3$180b2o198b2o72b2o124b2o72b2o$180b2o198b2o
72b2o124b2o72b2o5$208bo$206b2o$207b2o2$401bo$402bo$400b3o230bo$634b2o$
633b2o2$428bo$427bo$172b2o88b2o108b2o53b3o32b2o108b2o88b2o$172b2o88b2o
108b2o88b2o108b2o88b2o8$586bo$586bobo$586b2o2$180b2o198b2o72b2o124b2o
72b2o$180b2o198b2o72b2o124b2o72b2o17$172b2o88b2o108b2o88b2o108b2o88b2o
$172b2o88b2o108b2o88b2o108b2o88b2o12$380b2o72b2o$380b2o72b2o!
In this case, the resulting forward glider rake is used to build a traffic-light trail farther out. If you just want a clean forward rake, you'll have to turn the middle of the three backrakes into a simple rephaser, and then add more rephasers and backrakes to clean up the three leftover beehives.

That's a bit messy, though, so the odds are there's something much better. I'm thinking there ought to be a clean forward rake with three to five rephaser/backrakes -- just haven't found the right combination yet. Anyone feeling inspired today?

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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 5:04 pm

It seems that the last of three tracks can be one spaceship cheaper if it were a 86-track. Would 90:110:90:110:86 also work or should there be different distance between two last bi-Herschel tracks? What would it be, if it's still 48+62N?

EDIT: Ah, never mind. I think a 90-track is also doable.
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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 6:06 pm

Oops, there is a small conflict. 110 doesn't work :(

What are the next 48+62N numbers for the distance between 90-tracks?
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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 6:14 pm

codeholic wrote:It seems that the last of three tracks can be one spaceship cheaper if it were a 86-track. Would 90:110:90:110:86 also work or should there be different distance between two last bi-Herschel tracks? What would it be, if it's still 48+62N?
...
What are the next 48+62N numbers for the distance between 90-tracks?
It looks to me as if it should be possible to make some kind of simple rephaser work on pretty much any inter-block-pair spacing bigger than I-don't-know-maybe-60. So just add another 62 -- 172 will work fine. (In fact, at 172 I can maybe build a three-rephaser forward rake out of the traffic-light-plus-glider reaction. On the other hand, each individual rephaser will be significantly longer.)

Here's a question, though: what about 90:90:90? It looks as if it might be possible to run forward and backward rakes on a symmetrical set of four block trails, which could then fairly easily (I think) build two more block trails to make a full set of six. The forward and backward rakes would probably both spew unwanted gliders on the "away" sides, but I'm thinking these could be suppressed by forward rakes shooting to either side, running on the full six-trail track lower down.

Is it possible to build just four block trails 90 cells apart? It may not even be necessary for the middle trails to be aligned with the outer ones, if that's any help...?

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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 6:43 pm

dvgrn wrote:Here's a question, though: what about 90:90:90?
Well, I might need two cascades of block movers, but it's doable, and it would still be cheaper in terms of spaceship salvos than making two extra trails.
Is it possible to build just four block trails 90 cells apart?
If you're sure you can proceed from this point, I can switch to this design (I've just started to put all stuff together).

EDIT: Is it necessary, that all trails should be separated by the same distance? Would 90:58:90 also work the same way, for instance?
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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 7:18 pm

codeholic wrote:
dvgrn wrote:Is it possible to build just four block trails 90 cells apart?
If you're sure you can proceed from this point, I can switch to this design (I've just started to put all stuff together).
Not sure at all yet -- just checking to see if it's worth investigating. I'll build up these glider-spewing rakes and see how hard it is to add another block trail on each side. Meanwhile, probably the 90:172 is a good option to keep investigating; I do like the idea of easy forward rakes...

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Re: 31c/240 caterpillar working notes

Post by codeholic » January 29th, 2014, 8:08 pm

90:172 didn't work either. 90:234:90:234:90 seems to work fine...
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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 29th, 2014, 11:43 pm

codeholic wrote:90:172 didn't work either. 90:234:90:234:90 seems to work fine...
Well, as long as something works, I suppose it doesn't much matter. Rephasers don't pack as tightly, but there are some compensating advantages.

-- Mind you, I don't think the block trails are permeable by backward or forward glider streams at all at this spacing, or any 48+62N spacing, unless the center block pair is offset from the outer ones. Could probably figure out how to offset the center trails after building them, but it might get a bit tricky. It might be easier to just give up on the idea of the "primary" and "backup" tracks for backrakes.

Like 172, a 234-gap gives several different columns for building objects with side-puffers. I'll see about making a forward rake out of the TL+G reaction tomorrow; meanwhile, here's a random block puffer and a rephaser at 90:234:90:234:90 --

Code: Select all

#C 90:234 block puffer and rephaser
x = 844, y = 1069, rule = B3/S23
81b2o88b2o556b2o88b2o$81b2o88b2o556b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o3$76bo4bo$74b3o3bobo$74b2o
bo2bobo2b3o$73bo2bo3b2o3bob2o$74bo10bo3bo$86b2obo3bo5bo$71b2o13bo3b3ob
2o3bo$70bo2bo11b4o2b2o6bo$70b2ob2o10bo4bo$70bo2b3o9b6o$71b2o2bobo7b2o
3bo$75bob2o8bo2bo$75bobo9b3o$63bo11b2o$62bo$62b3o3$81b2o$81b2o8$171b2o
232b2o88b2o232b2o88b2o$171b2o232b2o88b2o232b2o88b2o3$89b2o$89b2o6$106b
o$107b2o$106b2o9$81b2o$81b2o8$171b2o232b2o88b2o232b2o$171b2o232b2o88b
2o232b2o86bobo$813bo4bo2b2o$812b2o6bobo$89b2o720b2o4bo2bob2o$89b2o720b
2o9b2o$812b5obob2o$731bo81bo2bo$170b2o557b4o80bo2bo$168b4o550b2o4b6o
70bo$168bo2bo549bo2bo3bo4b2o67bo2bo22b2o$162b2o3b2o4b2o543bo3bobo17b2o
58b3o$160b2o2bo3b3o3b2o540b2o5b2o5bo9b2ob2o57b3o20bo$160bo2b3o2bob2ob
2o542b2o3bo8b2o7bo4bo88bo$160bo4bo4b4o546b2o18bo3b3o77b2o3bo4bo$161b5o
567bo7b2o4bo75bobo5bobo$163b2o568b2o10bobo75b2o4bobo$733b2o10b2o76b2o
4b2o$824b3o2bo$824b3o3$81b2o88b2o556b2o88b2o22bo$81b2o88b2o556b2o88b2o
20bobo$842b2o6$158bo$158bobo244b2o88b2o$158b2o245b2o88b2o3$89b2o72b2o
572b2o72b2o$89b2o72b2o572b2o10bo61b2o$747bobo$748b2o8$3bo$2bo786bobo$
2b3o784b2o$790bo4$7b2o72b2o88b2o556b2o88b2o$6b2o73b2o88b2o556b2o88b2o$
8bo6$490bo$490bo$406bob3o79bo$404bo$403bo5b2o76bobo7b2o$89b2o312bo3b2o
77bo2bo2bo4b2o238b2o72b2o$89b2o313bo6b3o73bobo3b2o242b2o72b2o$411bobo
78b2o$411bo2bo$412bobo$412b3o5$401b2o96b2o338b2o$401b2o96b2o339b2o$
839bo2$2o$2o$67b2o$66b2o$68bo12b2o88b2o232b2o88b2o232b2o88b2o$81b2o88b
2o232b2o88b2o232b2o88b2o11$237bo$89b2o147b2o173b2o72b2o248b2o72b2o$89b
2o146b2o174b2o72b2o248b2o72b2o2$366bo$365bo$365b3o290bo$656b2o$657b2o$
779b2o$541bo238b2o$542bo236bo$540b3o3$2o125b2o$2o124b2o$128bo2$81b2o
88b2o232b2o88b2o232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o5$98bo$98b
obo$98b2o2$451bo$452b2o$451b2o355bo$89b2o322b2o72b2o318bob4o$89b2o322b
2o72b2o319b2o2$444bo$442b2o$443b2o$719b2o$720b2o$719bo4$187b2o$186b2o$
188bo4$81b2o88b2o232b2o88b2o232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b
2o5$80b2o$72b2o6bobo$72bo2b2o3bobo$75bob2ob2o4b2o$80b2obobob2o6b4o$70b
o2b2obobo2bo5b2ob3ob2o3bo$71bo2b3o5bo4bo6bo3b2o$72b3obo7bo2bo7b2o316b
2o72b2o$76bo8bobo325b2o72b2o$65bo8b3o9bo8b3o$65bobo26b2o$65b2o592b2o$
660b2o$659bo3$81b2o$81b2o164b2o$246b2o$248bo6$171b2o232b2o88b2o232b2o$
171b2o232b2o88b2o232b2o86bobo$813bo4bo2b2o$812b2o6bobo$89b2o720b2o4bo
2bob2o$89b2o720b2o9b2o$812b5obob2o$731bo81bo2bo$170b2o557b4o80bo2bo$
103bobo62b4o550b2o4b6o70bo$104b2o62bo2bo125bo423bo2bo3bo4b2o67bo2bo22b
2o$104bo57b2o3b2o4b2o123b2o418bo3bobo17b2o58b3o$160b2o2bo3b3o3b2o121b
2o417b2o5b2o5bo9b2ob2o57b3o20bo$160bo2b3o2bob2ob2o542b2o3bo8b2o7bo4bo
88bo$160bo4bo4b4o132bo413b2o18bo3b3o77b2o3bo4bo$161b5o139bo293b2o132bo
7b2o4bo75bobo5bobo$163b2o140b3o292b2o131b2o10bobo75b2o4bobo$599bo133b
2o10b2o76b2o4b2o$824b3o2bo$824b3o3$81b2o88b2o556b2o88b2o22bo$81b2o88b
2o556b2o88b2o20bobo$842b2o6$158bo$158bobo244b2o88b2o$158b2o245b2o88b2o
3$89b2o72b2o572b2o72b2o$89b2o72b2o572b2o10bo61b2o$747bobo$748b2o9$789b
obo$789b2o$790bo4$81b2o88b2o556b2o88b2o$81b2o88b2o556b2o88b2o7$490bo$
490bo$406bob3o79bo$404bo$403bo5b2o76bobo7b2o$89b2o72b2o238bo3b2o77bo2b
o2bo4b2o238b2o72b2o$89b2o72b2o239bo6b3o73bobo3b2o242b2o72b2o$411bobo
78b2o$411bo2bo$412bobo$412b3o5$401b2o96b2o338b2o$401b2o96b2o339b2o$
839bo4$67b2o$66b2o$68bo12b2o88b2o232b2o88b2o232b2o88b2o$81b2o88b2o232b
2o88b2o232b2o88b2o8$161b2o$160b3o$158b3o$157bobo77bo$89b2o66bo2bo77b2o
173b2o72b2o248b2o72b2o$89b2o66bob2obo74b2o174b2o72b2o248b2o72b2o$158b
2o3bo$160b3o203bo$161b2o202bo$365b3o290bo$656b2o$657b2o$779b2o$541bo
238b2o$542bo236bo$540b3o3$127b2o$126b2o$128bo2$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o5$98bo$98bobo$98b2o2$451bo
$452b2o$451b2o355bo$89b2o322b2o72b2o318bob4o$89b2o322b2o72b2o319b2o2$
444bo$442b2o$443b2o$719b2o$720b2o$719bo4$187b2o$186b2o$188bo4$81b2o88b
2o232b2o88b2o232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o12$413b2o72b
2o$413b2o72b2o3$659b2o$660b2o$659bo4$247b2o$246b2o$248bo6$81b2o88b2o
232b2o88b2o232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o9$297bo$298b2o$
297b2o2$306bo$305bo293b2o$305b3o292b2o$599bo14$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o30$81b2o88b2o232b2o88b2o
232b2o88b2o$81b2o88b2o232b2o88b2o232b2o88b2o!
EDIT: Here's a single 90:234 rephaser with the center pair of Herschel climbers moved farther forward. This has the effect of moving the glider suppression point to a column closer to the block trails -- though it's still possible to reach out some distance by advancing the outermost Herschel, as shown on the left side:

Code: Select all

#C sample 90:234 center-forward rephaser
x = 766, y = 905, rule = B3/S23
334b2o88b2o$334b2o88b2o30$334b2o88b2o$334b2o88b2o30$334b2o88b2o$334b2o
88b2o30$334b2o88b2o$334b2o88b2o30$334b2o88b2o$334b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
232b2o88b2o232b2o88b2o$10b2o88b2o232b2o88b2o232b2o88b2o30$10b2o88b2o
556b2o88b2o$10b2o88b2o556b2o88b2o$418b3o$339b2o80bo4b2o$339b3o74bo4bo
4b2o$338b2o2bo72bo4bo$337b3o76bo$331b3o4b3o74b4obo$339bo75bo4b2o$416bo
3bo$415b2ob2o$416bobo$417bo2$330b2o96b2o$330b2o96b2o7$334b2o88b2o$334b
2o88b2o8$10b2o88b2o556b2o88b2o$10b2o88b2o556b2o88b2o2$299bo$299bobo40b
2o72b2o$299b2o41b2o72b2o4$466bo$464bobo$465b2o11$334b2o88b2o$334b2o88b
2o5$375bobo$376b2o$376bo$10b2o88b2o556b2o88b2o$10b2o88b2o556b2o88b2o2$
376bobo$342b2o32b2o38b2o$342b2o33bo38b2o17$334b2o88b2o$334b2o88b2o8$
10b2o88b2o556b2o88b2o$10b2o88b2o556b2o88b2o3$342b2o72b2o$342b2o72b2o
17$334b2o88b2o$334b2o88b2o8$10b2o88b2o556b2o88b2o$10b2o88b2o137bo418b
2o88b2o$239bobo$239b2o3$749bo$526bo217b3obobo$524bobo218b4ob2o3b3o$
525b2o223bo2b5o$661b3o75b2o3b2o3bo3bo$661b3o68b3o3bo2bobo5bo4b5o$660bo
3b2o68bo2bo6b3o11bo$660b2o3bo66bob2o2b3o3bo10bobo$661bo3bo66bob2obo3b
3o11b2o5bobo$661bo2bo69bob2o4bo20b2o$661b3o75bo23bo$660bobo71b3o2bo$
660b2o68bo4bo28bo$730bo4bo28b2o$731bo2bo28bobo2$334b2o88b2o232b2o88b2o
$334b2o88b2o232b2o88b2o4$669bo$670bo$668b3o2$10b2o88b2o$10b2o88b2o3$
666b2o72b2o$666b2o72b2o2$10bo716bo$10b3o713bo$8b2o2bo713b3o2$4b5o8b3o
3b2o$4bo3bobo2bobob3o2b2obo$4b2obo3b2obo5bo4b2o$6b2o10b3o3b2o$15b2o2b
2o$704bo$704b2o$703bobo4$10b2o322b2o88b2o232b2o88b2o$10b2o322b2o88b2o
232b2o88b2o8$100b2o$24bobo73b2o$25b2o$25bo$18b2o646b2o72b2o$18b2o646b
2o72b2o9$644bo$644b2o$643bobo6$10b2o322b2o88b2o232b2o88b2o$10b2o322b2o
88b2o232b2o88b2o$bo$2o$obo4$179bo$100b2o77bobo$100b2o77b2o413bobo$594b
2o$595bo$18b2o646b2o72b2o$18b2o566bo79b2o72b2o$584bobo$585b2o13$92b3o$
95bo$10b2o49bo30bo2bo238b2o88b2o232b2o88b2o$10b2o48b2o31b2o239b2o88b2o
232b2o88b2o$60bobo30b2o$92bo2bo633bo$92bo637bo$94b2o632b3o5$668bo$667b
3o$102b2o562bob3o$18b2o72b2o8b2o561b3o2b2o68b2o$18b2o72b2o573bob2o69b
2o$669bo$104bo$103b3o$102bo3bo$107bo$100bo3b2ob2o$104b2o$100b2o6bo$
106b2o6$121bo$120b2o$10b2o88b2o18bobo211b2o88b2o$10b2o88b2o232b2o88b2o
7$84bobo$85b2o$85bo3$18b2o72b2o$18b2o72b2o17$10b2o88b2o$10b2o88b2o12$
18b2o$18b2o12$38bo$37bo$37b3o3$10b2o88b2o$10b2o88b2o12$18b2o$18b2o!

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 30th, 2014, 8:37 am

Here's an incomplete 90:234 forward rake, with just one modified rephaser:

Code: Select all

#C ash-dependent 90:234 forward rake
x = 809, y = 874, rule = B3/S23
389b2o88b2o$389b2o88b2o30$389b2o88b2o$389b2o88b2o30$389b2o88b2o$389b2o
88b2o30$65b2o88b2o232b2o88b2o232b2o88b2o$65b2o88b2o232b2o88b2o232b2o
88b2o30$65b2o88b2o232b2o88b2o232b2o88b2o$65b2o88b2o232b2o88b2o232b2o
88b2o30$65b2o88b2o232b2o88b2o232b2o88b2o$65b2o88b2o232b2o88b2o232b2o
88b2o30$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o88b2o232b2o88b2o232b2o
88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o88b2o232b2o88b2o
232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o88b2o232b2o
88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o88b2o
232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o
88b2o232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o$2o
63b2o88b2o232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o88b2o
$2o63b2o88b2o232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o232b2o
88b2o$2o63b2o88b2o232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o88b2o
232b2o88b2o$2o63b2o88b2o232b2o88b2o232b2o88b2o$2o29$65b2o88b2o232b2o
88b2o232b2o88b2o$2o63b2o88b2o232b2o88b2o232b2o88b2o$2o26$795b3o$797bo$
796bo$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b2o88b2o232b2o88b2o232b2o
88b2o$2o24$735b3o$737bo$736bo3$65b2o88b2o232b2o88b2o232b2o88b2o$2o63b
2o88b2o232b2o88b2o232b2o88b2o$2o5$389b2o$389b2o$390bo85b2o$381bo9bo86b
o$380b3o8b2o12b3o65b3o3bo$379bo3bo5b5o10b4o64b5o2bo$379b2ob3o4bobobob
3o5b2o2b2o62b2o5b2o$381b3o7bob5o6bob2o64b2o$382bobo3bo4b2o10b3o70b2o$
383bo4bo4bo12bo$387bo4bo83bo$388bo88b3o$389bo3$389b2o88b2o$389b2o88b2o
$675b3o$677bo$676bo2$469bo$467b2o$468b2o$65b2o88b2o556b2o88b2o$2o63b2o
88b2o556b2o88b2o$2o$406bo$397b2o8b2o62b2o$397b2o7b2o63b2o17$389b2o88b
2o134b3o$389b2o88b2o136bo$616bo7$65b2o88b2o556b2o88b2o$2o63b2o88b2o
556b2o88b2o$2o2$397b2o72b2o$397b2o72b2o15$555b3o$557bo$389b2o88b2o75bo
$389b2o88b2o8$65b2o88b2o556b2o88b2o$2o63b2o88b2o387bo168b2o88b2o$2o
543bo$543b3o$397b2o72b2o$397b2o72b2o2$319bo$318bo$318b3o9$495b3o$497bo
$496bo2$389b2o88b2o$389b2o88b2o3$409bo$407b2o$408b2o3$65b2o88b2o556b2o
88b2o$2o63b2o88b2o309bo246b2o88b2o$2o465b2o$466b2o$397b2o72b2o$397b2o
72b2o11$435b3o$437bo$436bo4$389b2o88b2o$389b2o88b2o$73bo$72bobo$71b2ob
2o$71bo2bo$70bo3bo$74bo2$713b2o88b2o$2o147b3o561b2o88b2o$2o147bo$63b2o
84b2obo4b2o$63b2o9bo75bobo4b2o$73b2o76b2o$148b2o$146b2o3bo$151b3o$147b
3o$62bo86bo$61bob2o82b3o$63b2o82b3o$64bo83bo$62b2o95b2o214b3o$62bo96b
2o216bo$376bo6$65b2o88b2o232b2o88b2o$65b2o88b2o232b2o88b2o7$604bo$605b
o107b2o$2o601b3o107b2o$2o799bo$800b2o$73b2o72b2o649b2obo$73b2o72b2o
110bo545bo$258bo538bo2bo4b2o$258b3o537b2obobo2b2o$797bobo2b2o$797bo2bo
$196bobo598bo$197b2o599bobo$197bo117b3o481bo$317bo$316bo490b2o$807b2o
5$13bo$12bo$12b3o50b2o88b2o232b2o88b2o322b2o$65b2o88b2o232b2o88b2o322b
2o8$713b2o$2o711b2o$2o$107bo$73b2o31bo40b2o646b2o$73b2o31b3o38b2o646b
2o5$255b3o$257bo$256bo2$124bo$125b2o$124b2o6$65b2o88b2o232b2o88b2o322b
2o$65b2o88b2o232b2o88b2o322b2o$782b2o$783b2o$782bo4$713b3o44bo$713b3o
42b2o$759b2o$717bo2bo$709b2o5b2o2bo$73b2o72b2o560b6obo78b2o$73b2o72b2o
561bo2bo2bo3bo74b2o$710b2ob3o4bo$711b2o3b3o2$729b3o$729b3o$730bo$730bo
$729b3o$709b2o18b3o$708bobo$704bobo$703bo5bo$708bo3$705bobo$65b2o88b2o
232b2o88b2o232b2o7b2o79b2o$65b2o88b2o232b2o88b2o232b2o8b2o78b2o$689bo
32bo$687b2o$688b2o2$664bo$665bo$663b3o5$721b2o72b2o$721b2o72b2o13$746b
o$744bobo$745b2o2$65b2o88b2o232b2o88b2o232b2o88b2o$65b2o88b2o232b2o88b
2o232b2o88b2o12$795b2o$795b2o17$65b2o88b2o232b2o88b2o232b2o88b2o$65b2o
88b2o232b2o88b2o232b2o88b2o12$795b2o$795b2o!
This version eats a column of junk along the left side. It will take a little searching to find the cheapest side-puffer to run in front of this rake to produce junk that can absorb the extra glider stream. Here's what I know so far:

1) We often (but not always) need at least two rephasers between a side-puffer and a backrake. Since each rephasing moves the glider lane by 9, the 9-lane and 18-lane gliders tend to go right through the newly-puffed trail -- but the 27=-4 and the 36=+5 lanes will generally interact, especially with big junk like a honeyfarm or traffic light.

[I just realized that the numbering system I've been using for mod-31 glider lanes is somewhat at odds with Golly's coordinate system -- we should really have the spaceship traveling down or to the right. But what the heck -- it's confusing in other ways to use -9 as the step, and mod-31 arithmetic works better in the zero-to-thirty range, and it's traditional for Caterpillars to climb ever upward... guess we'll just have to live with the weird math.]

2) If we need several forward rakes in a row, let's say on the right, we can perfectly well start with a fairly messy puffer on the left, and gradually erode the ash away as it absorbs several extra glider streams. That reduces the number of rephasers needed -- with a fairly impermeable ash trail, we'll only need to rephase to avoid glider-generating collisions.

This isn't the only way to build a forward rake, either -- there are lots of other possibilities, like the TL+G reaction I mentioned yesterday.

So... now that we have forerakes, what can we use them for? Should we build *WSSes by pairing forerakes and backrakes, and not use slow salvos so much after all? Or is it possible somehow to sustain burning glider helices at the front that generate sideways *WSSes directly, and skip the upship streams entirely?

EDIT:The LOM puffer blocks the next (+9) glider:

Code: Select all

x = 882, y = 1379, rule = B3/S23
72b2o88b2o556b2o88b2o$72b2o88b2o556b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$72b2o88b2o232b2o88b2o
232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o30$162b2o232b2o88b2o232b2o
88b2o$162b2o232b2o88b2o232b2o88b2o$70bo$70bo5bo$69b3o5bo$75bobo$69b3o
4b2o$70bo9b3o7$68b2o$68b2o7$72b2o$72b2o7$720bo$396b2o88b2o231b2o86bo$
40bo119bobo233b2o88b2o231bobo85bo$38b2o116bo4bo2b2o551bobobo86bo$39b2o
114b2o6bobo549bob2ob2o85b2o3b2o$80b2o72b2o4bo2bob2o547bo89b5o3b2o$80b
2o72b2o9b2o548b2o86bobo$155b5obob2o564bo72b2ob2o$156bo2bo569bo72bo2bo$
156bo2bo569bo71b2ob2o$147bo654bobo$145bo2bo22b2o630bo$145b3o$145b3o20b
o$177bo$167b2o3bo4bo538b2o96b2o$166bobo5bobo539b2o96b2o$166b2o4bobo$
166b2o4b2o$167b3o2bo$167b3o3$72b2o88b2o22bo533b2o88b2o$72b2o88b2o20bob
o533b2o88b2o$185b2o2$113bo$111bobo$112b2o577bo$691bobo$691b2o$396b2o
88b2o$396b2o88b2o3$80b2o72b2o572b2o72b2o$80b2o72b2o572b2o72b2o3$849bob
o$850b2o$850bo2$483bo$482bobo$481b2ob2o$482bob2o$132bobo344b2o2b3o$
132b2o350bo$133bo349bo$403b2o77b2o$403b3o81b2o$402bo2bo81b2o$72b2o88b
2o237b2ob2o80b2o232b2o33bobo52b2o$72b2o88b2o237b2ob2o80bo233b2o34b2o
52b2o$402b2ob2o349bo$405bo$402b3o72bo$403bo73bobo$477b2o368b2o$2o844bo
bo$2o846bo2$764bo$b2o17b2o741bo$b2o17b2o19b2o351b2o367b3o$41bobo36b2o
72b2o238b2o8b2o72b2o248b2o72b2o$41bo38b2o72b2o248b2o72b2o248b2o72b2o$
21b2o370bo$21b2o369bobo$395bo$390bo3bo$389bo4bo$388bo2$393bo$390bo8$
72b2o88b2o232b2o88b2o232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o3$
787b2o$786bobo$788bo$2o$2o2$101b2o$b2o17b2o79bobo$b2o17b2o79bo$80b2o
322b2o72b2o248b2o72b2o$80b2o322b2o72b2o248b2o72b2o$21b2o$21b2o13$246bo
$244bobo$72b2o88b2o81b2o149b2o88b2o232b2o88b2o$72b2o88b2o232b2o88b2o
232b2o88b2o$341bo385b2o$339b2o385bobo$340b2o289bo96bo$631bobo$631b2o$
2o$2o159b2o385bo$161bobo385b2o$161bo386b2o$b2o17b2o$b2o17b2o$404b2o72b
2o$404b2o72b2o$21b2o$21b2o11$460bo$458bobo$459b2o2$72b2o88b2o232b2o88b
2o179b2o51b2o88b2o$72b2o88b2o232b2o88b2o178bobo51b2o88b2o$417bo250bo$
417bobo$417b2o2$221b2o$2o219bobo$2o219bo3$b2o17b2o$b2o17b2o$404b2o72b
2o399b2o$404b2o72b2o400b2o$21b2o856bo$21b2o13$607b2o$606bobo$72b2o88b
2o232b2o88b2o120bo111b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o3$281b2o
$281bobo$281bo$2o$2o3$b2o17b2o797b2o$b2o17b2o798b2o$819bo2$21b2o$21b2o
15$72b2o88b2o232b2o88b2o232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o6$
2o$2o$759b2o$760b2o$b2o17b2o737bo$b2o17b2o3$21b2o$21b2o15$72b2o88b2o
556b2o88b2o$72b2o88b2o232bobo87bo233b2o88b2o$393b2obo2bo81bob5o$393b2o
bo2bo80bo3bo2bo$392bob2o85bo$392b4o5bo80bo2b3o$402b2o70b2o4b2o4bo$2o
393b2o6bo68bo7b2o217b2o$2o390bo3b2obob3o66b3o9bo217b2o$393b5o71bo4b2o
4bo218bo$396bo71bo3b3obo$b2o17b2o447bobo4bo17b2o$b2o17b2o451bo2bo16bob
o3bo$474bo10bo14b2o$392b2o97bo3bo$21b2o369b2o93b2o2b2ob2ob3o$21b2o464b
2o$487b3o2bo$492bo$490b2o$507bo$508b2o$396b2o88b2o19b2o$396b2o88b2o3$
370bo$368b2o$369b2o3$72b2o88b2o556b2o88b2o$72b2o88b2o556b2o88b2o3$404b
2o72b2o$404b2o72b2o159b2o$640b2o$2o637bo$2o3$b2o17b2o$b2o17b2o2$458bo$
21b2o435bobo$21b2o435b2o4$431bo$429bobo$396b2o32b2o54b2o$396b2o88b2o8$
72b2o88b2o556b2o88b2o$72b2o88b2o556b2o88b2o2$579b2o$404b2o72b2o100b2o$
404b2o72b2o99bo2$2o$2o3$b2o17b2o$b2o17b2o3$21b2o$21b2o6$396b2o88b2o$
396b2o88b2o8$72b2o88b2o556b2o88b2o$72b2o88b2o355b2o199b2o88b2o$520b2o$
519bo$404b2o72b2o$404b2o72b2o2$2o$2o3$b2o17b2o$b2o17b2o3$21b2o$21b2o2$
567bo$568b2o$567b2o2$396b2o88b2o$396b2o88b2o$310bo$308b2o$309b2o4$459b
2o$72b2o88b2o296b2o258b2o88b2o$72b2o88b2o295bo260b2o88b2o6$2o70bo$2o
69bobo$74bo$74b2o8bo$b2o17b2o42b4o6b2o$b2o17b2o42bo3bo19b2o$64b2o2bo
10b2o7b3o$66bo2bo2bob3o2b2o7b2o$21b2o44b3o2bob3o11bo$21b2o44b3o2bo3$
158b2o$158bobo$160b2o$72b2o85bo236b2o88b2o$72b2o83bobo236b2o88b2o$156b
2o$156b3o3$399b2o$400b2o$399bo$720b2o88b2o$720b2o88b2o$89bo$87bobo$80b
2o6b2o64b2o$80b2o72b2o2$2o$2o3$b2o17b2o$b2o17b2o3$21b2o$21b2o6$72b2o
88b2o232b2o88b2o315bo$72b2o88b2o232b2o88b2o314b3o$805bo$803b2o$339b2o
463bo$340b2o$339bo3$720b2o$720b2o2$812b2o$80b2o72b2o646b2o8b2o$80b2o
72b2o646b2o5$814bo$813b3o$812b2ob2o$811b3o$812bob2o$813b2o$627bo186bo$
628b2o$627b2o4$72b2o88b2o86bo145b2o88b2o322b2o$72b2o88b2o84b2o146b2o
88b2o322b2o$249b2o28b2o$280b2o$221bo57bo$222bo$220b3o3$720b2o$720b2o3$
80b2o72b2o646b2o$80b2o72b2o646b2o2$806b2o$805bobo$807bo11$98bo$96b2o$
72b2o23b2o63b2o232b2o88b2o322b2o$72b2o88b2o232b2o88b2o322b2o8$149bo
576bo$147bobo576b2o$148b2o578bo$718b2o6b2o$80b2o72b2o562b2o3b2ob2o74b
2o$80b2o72b2o568b4o18b2o54b2o$724b3ob2o15bobo$725b2ob2o17bo$724b3o3bo$
724bob3o$726bo$726bo2bo2$727b3o$716b2o$716b2o$749bo$749bobo$749b2o4$
72b2o88b2o232b2o88b2o232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o11$
686b2o$685bobo40b2o72b2o$687bo40b2o72b2o17$72b2o88b2o232b2o88b2o232b2o
88b2o$72b2o88b2o232b2o88b2o232b2o88b2o12$768bobo31b2o$769b2o31b2o$769b
o16$72b2o88b2o232b2o88b2o232b2o88b2o$72b2o88b2o232b2o88b2o232b2o88b2o
12$802b2o$802b2o17$72b2o88b2o232b2o88b2o232b2o88b2o$72b2o88b2o232b2o
88b2o232b2o88b2o!
There's probably something cleaner, but this could be a good start for cases where many glider streams need to be absorbed. Maybe puff another block to fill the gap between the two half-blockades in the LOM debris.

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Re: 31c/240 caterpillar working notes

Post by dvgrn » January 30th, 2014, 9:34 am

Here's the traffic-light-plus-glider reaction turned into a clean forward rake. This is an expanded version, for easy copying and pasting of the puffer, rephasers and backrake -- looks like it can be tightened up to about half this length:

Code: Select all

#C clean 90:234 6-rephaser forward rake
x = 936, y = 4363, rule = B3/S23
21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o30$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o6$756b2o$757b2o$755bobo3bo
3b3o$746b3o6bo3b3ob2o3bo$745b5o6b4o3bo3b2o$744b5obo8bo4bo3bo4bo$742b2o
2b3ob2o4b3o6bobo3bobo$742b2obo2b3o16bo4b2o$741b2o6bo8bo$742bo2bo11bo$
743b3o5$759b2o$759b2o8$111b2o232b2o88b2o232b2o$111b2o232b2o88b2o232b2o
$22b2o$21b2obob3o904b2o$22bo2bo725b2o181b2o$22bo7bo720b2o180bo$22bo3bo
4bo707bobo$30bo3b2o75b2o626b2o$20bo4bob3o2b2o2bo74b2o627bo$20bo5b3o8bo
635bo$12bo18bo6b3o631bobo$9bo11bo10bo2b2o72b3o4bo3b2o549bo$8bo4b2o6bo
11b2o59b3o12b2o7b2obo549bo2b3o$8b2o4bo5b2o2bo68b2ob2o6b2o2bo2bo3bo3b3o
549b2o3b2o$9b2o3bo5b5o68b2o2bo6b2o2bob2obo6bo551b2ob2o$10bo2bob3o3b2o
72b2o11bo9b2o551b2ob2o$10b2o4bo2b3o87b2o560bo2bo$16bo93b5ob2o553bo2bo$
17bobo651b2o$18bo$obo$2o$bo19b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o
5$679bobo$680b2o$680bo$345b2o88b2o$345b2o88b2o436b2o$874b2o$94bobo776b
o$29b2o63b2o7b2o572b2o72b2o$29b2o64bo7b2o572b2o72b2o8$49bo$50bo$48b3o
7$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o6$812bobo$351bo459bobob2o
$350b3o457bo$349bob2o461bo$813bo$343b2o5bo2b2o77b3o376bo$29b2o72b2o
238b2o5b2ob2o76bo245b2o72b2o59bo$29b2o72b2o245b2o78b2o245b2o72b2o$430b
3o3b3o$429bo4bo3bo$434bo3bo$429b4obo$429bob2o$430b3o$354bo$352bo2bo$
341b2o9bobo84b2o$341b2o10bo85b2o$3b2o$3bobo$3bo4$21b2o88b2o232b2o88b2o
232b2o88b2o10b2o$21b2o88b2o232b2o88b2o232b2o88b2o9bobo$772bo3$809b3o2$
807bo5bo$807bo5bo$807bo5bo$605bo$605bobo71b3o127b3o$605b2o71bob2o$29b
2o72b2o248b2o72b2o248b2o3bo68b2o$29b2o72b2o248b2o72b2o43bo208bo69b2o$
473b2o$182bo289b2o$180bobo$181b2o2$303bo$301b2o$302b2o$63b2o$63bobo$
63bo4$711b2o$710bobo$21b2o88b2o232b2o88b2o232b2o41bo46b2o$21b2o88b2o
232b2o88b2o232b2o88b2o3$739bobo$740b2o67b3o$740bo$807bo5bo$391bo415bo
5bo$391bobo413bo5bo$34bobo354b2o$34b2o773b3o$35bo$29b2o322b2o72b2o322b
2o$29b2o322b2o41bo30b2o322b2o$394bobo$395b2o5$123b2o$123bobo$123bo4$
651b2o$650bobo$652bo2$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b
2o88b2o232b2o88b2o4$809b3o2$807bo5bo$807bo5bo$807bo5bo2$809b3o2$353b2o
72b2o$353b2o72b2o5$183b2o$183bobo$183bo4$591b2o$590bobo$592bo4$21b2o
88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o4$809b3o2$
807bo5bo$545bo261bo5bo$545bobo259bo5bo$545b2o$809b3o$532bo$533b2o$242b
o289b2o$240bobo$241b2o2$243bo$241b2o$242b2o11$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o4$809b3o2$807bo5bo$807bo5b
o$807bo5bo2$809b3o20$21b2o88b2o232b2o322b2o88b2o$21b2o88b2o232b2o322b
2o88b2o$434b2o$429b3obob2o$432bo2bo$427bo7bo373b3o$345bo80bo4bo3bo$
344bobob3o71b2o3bo379bo5bo$337b3o3b2ob4o71bo2b2o2b3obo4bo369bo5bo$337b
5o2bo75bo8b3o5bo369bo5bo$341bo3bo3b2o3b2o61b3o6bo18bo$336b5o4bo5bobo2b
o3b3o58b2o2bo10bo11bo360b3o$336bo11b3o6bo2bo62b2o11bo6b2o4bo$337bobo
10bo3b3o2b2obo70bo2b2o5bo4b2o$330bobo5b2o11b3o3bob2obo70b5o5bo3b2o$
330b2o20bo4b2obo74b2o3b3obo2bo$331bo23bo80b3o2bo4b2o$355bo2b3o80bo$
359bo4bo73bobo$359bo4bo74bo$360bo2bo91bobo$456b2o$345b2o88b2o19bo$345b
2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$353b
2o72b2o380b3o2$367bo439bo5bo$368bo438bo5bo$366b3o438bo5bo2$809b3o2$
408bo$407bo$407b3o7$345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b
2o88b2o556b2o88b2o3$353b2o72b2o$353b2o72b2o380b3o2$807bo5bo$807bo5bo$
807bo5bo2$809b3o11$345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b
2o88b2o556b2o88b2o3$353b2o72b2o$353b2o72b2o380b3o2$807bo5bo$807bo5bo$
807bo5bo2$809b3o$270bobo$270b2o$271bo4$515bobo$516b2o$516bo2$345b2o88b
2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o313bo242b2o88b2o$425b
3o$424b3obo$423b2o2b3o$424b2obo381b3o$425bo$807bo5bo$807bo5bo$807bo5bo
2$809b3o11$345b2o88b2o314b3o$345b2o88b2o314b3o$751bo2bo$752b3o$752b2o
4$674b3o$21b2o88b2o$21b2o88b2o563bo$674b4o$667b2o5b5o82b2o$667b2o4bo3b
2o72b2o8b2o$674b3o74b2o56b3o2$807bo5bo$754b3o50bo5bo$756bo50bo5bo$755b
o6b3o$761bo3bo43b3o$760bo3b2o$678b2o80bo4bo$665b2o9bobo81bo3bo$665b2o
10bo$762b2o6$345b2o88b2o232b2o88b2o$345b2o88b2o232b2o88b2o8$111b2o$28b
2o81b2o$27bo2bo$19b2o6bo$19b2o7bo3bo644b2o72b2o$28bo648b2o72b2o56b3o$
22bo6b4o661b3o$21bo6b2o666bo110bo5bo$21b3o671bo111bo5bo$807bo5bo$210bo
bo$210b2o414bo182b3o$211bo413bo$625b3o$17b2o$17b2o$575bobo$576b2o$576b
o4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o8$111b2o$
111b2o3$29b2o603b3o40b2o72b2o$29b2o605bo40b2o40bo31b2o56b3o$635bo84b2o
$719b2o86bo5bo$807bo5bo$807bo5bo2$809b3o3$31b3o$31bo$32bo666bo$697b2o$
698b2o4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o11$106b
o$29b2o73b2o571b2o72b2o$29b2o646b2o72b2o56b3o$108b3o$106bo2bo3b3o691bo
5bo$106b3o698bo5bo$76bo30bo699bo5bo$77bo$75b3o731b3o$91b3o$91bo$92bo
22b2o$115b2o7$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o
232b2o88b2o11$147bo$29b2o72b2o43bo$29b2o72b2o41b3o660b3o2$807bo5bo$
150bobo654bo5bo$150b2o655bo5bo$151bo$809b3o11$21b2o88b2o232b2o88b2o
232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o5$70bo$68b2o$69b2o5$29b2o$
29b2o778b3o2$807bo5bo$807bo5bo$807bo5bo2$809b3o11$21b2o88b2o232b2o88b
2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o12$29b2o$29b2o778b3o2$
807bo5bo$807bo5bo$807bo5bo2$809b3o11$21b2o88b2o232b2o88b2o232b2o88b2o$
21b2o88b2o232b2o88b2o232b2o88b2o13$809b3o2$807bo5bo$807bo5bo$807bo5bo
2$809b3o11$21b2o88b2o232b2o322b2o88b2o$21b2o88b2o232b2o322b2o88b2o$
430bo3b3o$430b4o2bo$430b3o2bo$434b3o$345bo3bo76b2o$338bo4b2obo3bo71b
10o$337bo5b2obo3bo70b4o3bo$337bo3b4ob2o2bo67b3o4bo2bo2bo$336bo4bo2b2o
4bo3b2o5bo56b4o8bo$336b5o7bo2bo2b3o3b2o56bo3b4o18bo$336bo3bo8b3o2bo2bo
4bo59b3o10b2o6b2o4bo$337bobo10bob6o75bo8b2o3bobo$330bo7b2o11b5obo75bo
7bob2o2bobo359b3o$330bobo18b3o2b3ob2o76bob4o$330b2o24b2o2bo74b3o8b2o
359bo5bo$358b3o77b4o365bo5bo$439b2o366bo5bo$359b2o2b2o74bo$457bo351b3o
$455bobo$345b2o88b2o19b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b
2o556b2o88b2o3$353b2o72b2o$353b2o72b2o3$366bobo$367b2o$367bo4$407bobo
399b3o$407b2o$408bo398bo5bo$807bo5bo$807bo5bo2$809b3o2$345b2o88b2o$
345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$
353b2o72b2o9$809b3o2$807bo5bo$807bo5bo$807bo5bo2$809b3o2$345b2o88b2o$
345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$
353b2o72b2o7$270bo$270bobo$270b2o537b3o2$807bo5bo$807bo5bo$517bo289bo
5bo$515bobo$516b2o291b3o2$345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b
2o$21b2o88b2o312b3o241b2o88b2o$424bo$423bo5bo$423bo5bo$423bobobo$424b
3o8$809b3o2$807bo5bo$807bo5bo$807bo5bo2$809b3o$751b3o$345b2o88b2o313bo
3bo$345b2o88b2o318bo2$750b2o3bo$752b3o4$675bobo$21b2o88b2o561bo$21b2o
88b2o562bo2bo$674b2obo$667b2o4b3obo83b2o$667b2o4bo3bo73b2o8b2o$673bo3b
o73b2o$674bo2$763bo$762b3o$761b2ob2o$760bo$678bo80bo4bob2o$679bo79bo4b
obo$665b2o12bo80bo4bo43b3o$665b2o$807bo5bo$807bo5bo$807bo5bo2$809b3o2$
345b2o88b2o232b2o88b2o$345b2o88b2o232b2o88b2o8$111b2o$28b2o81b2o$27bob
o$19b2o6b2o$19b2o6b2o648b2o72b2o$28bobobo644b2o72b2o$30b2o$21bobo4b2ob
o$21b2o$22bo$210bo$210bobo$210b2o414bo$624b2o$17b2o606b2o$17b2o$577bo$
575bobo230b2o$576b2o229bo2bo$808b2o3$21b2o322b2o88b2o232b2o88b2o$21b2o
322b2o88b2o232b2o88b2o8$111b2o$111b2o3$29b2o646b2o72b2o$29b2o646b2o72b
2o$721bo$719bobo$720b2o5$32bo$31b2o$31bobo2$697bo110b2o$697bobo107bo2b
o$697b2o109b2o3$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b
2o11$105bo$29b2o74bo571b2o72b2o$29b2o78bo567b2o72b2o$108b3o3bo$106bo3b
o3bo$106bobo5bo$106b3o$75bobo$76b2o14bo$76bo14b2o$91bobo$115b2o$115b2o
2$808b2o$807bo2bo$808b2o3$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o
232b2o88b2o232b2o88b2o12$29b2o72b2o41bobo$29b2o72b2o42b2o$147bo2$150bo
$150bobo$150b2o7$808b2o$807bo2bo$808b2o3$21b2o88b2o232b2o88b2o232b2o
88b2o$21b2o88b2o232b2o88b2o232b2o88b2o5$69bo$68bo$68b3o5$29b2o$29b2o
12$808b2o$807bo2bo$808b2o3$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o
232b2o88b2o232b2o88b2o12$29b2o$29b2o12$808b2o$807bo2bo$808b2o3$21b2o
88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o25$808b2o$
807bo2bo$808b2o3$21b2o88b2o232b2o322b2o88b2o$21b2o88b2o232b2o322b2o88b
2o$434b2o$429b3obob2o$432bo2bo$427bo7bo$345bo80bo4bo3bo$344bobob3o71b
2o3bo$337b3o3b2ob4o71bo2b2o2b3obo4bo$337b5o2bo75bo8b3o5bo$341bo3bo3b2o
3b2o61b3o6bo18bo$336b5o4bo5bobo2bo3b3o58b2o2bo10bo11bo$336bo11b3o6bo2b
o62b2o11bo6b2o4bo$337bobo10bo3b3o2b2obo70bo2b2o5bo4b2o$330bobo5b2o11b
3o3bob2obo70b5o5bo3b2o$330b2o20bo4b2obo74b2o3b3obo2bo$331bo23bo80b3o2b
o4b2o$355bo2b3o80bo$359bo4bo73bobo$359bo4bo74bo$360bo2bo91bobo$456b2o$
345b2o88b2o19bo$345b2o88b2o3$808b2o$807bo2bo$808b2o3$21b2o88b2o556b2o
88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$353b2o72b2o2$367bo$368bo$366b
3o4$408bo$407bo$407b3o7$345b2o88b2o$345b2o88b2o3$808b2o$807bo2bo$808b
2o3$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$353b2o72b
2o17$345b2o88b2o$345b2o88b2o3$808b2o$807bo2bo$808b2o3$21b2o88b2o556b2o
88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o$353b2o72b2o7$270bobo$270b2o$
271bo4$515bobo$516b2o$516bo2$345b2o88b2o$345b2o88b2o3$808b2o$807bo2bo$
808b2o3$21b2o88b2o556b2o88b2o$21b2o88b2o313bo242b2o88b2o$425b3o$424b3o
bo$423b2o2b3o$424b2obo$425bo16$345b2o88b2o314b3o$345b2o88b2o314b3o$
751bo2bo$752b3o$752b2o54b2o$807bo2bo$808b2o2$674b3o$21b2o88b2o$21b2o
88b2o563bo$674b4o$667b2o5b5o82b2o$667b2o4bo3b2o72b2o8b2o$674b3o74b2o3$
754b3o$756bo$755bo6b3o$761bo3bo$760bo3b2o$678b2o80bo4bo$665b2o9bobo81b
o3bo$665b2o10bo$762b2o6$345b2o88b2o232b2o88b2o$345b2o88b2o232b2o88b2o
3$808b2o$807bo2bo$808b2o3$111b2o$28b2o81b2o$27bo2bo$19b2o6bo$19b2o7bo
3bo644b2o72b2o$28bo648b2o72b2o$22bo6b4o661b3o$21bo6b2o666bo$21b3o671bo
2$210bobo$210b2o414bo$211bo413bo$625b3o$17b2o$17b2o$575bobo$576b2o$
576bo4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o3$808b2o
$807bo2bo$808b2o3$111b2o$111b2o3$29b2o603b3o40b2o72b2o$29b2o605bo40b2o
40bo31b2o$635bo84b2o$719b2o7$31b3o$31bo$32bo666bo$697b2o$698b2o4$21b2o
322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o3$808b2o$807bo2bo$
808b2o6$106bo$29b2o73b2o571b2o72b2o$29b2o646b2o72b2o$108b3o$106bo2bo3b
3o$106b3o$76bo30bo$77bo$75b3o$91b3o$91bo$92bo22b2o$115b2o7$21b2o88b2o
232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o3$808b2o$807bo
2bo$808b2o6$147bo$29b2o72b2o43bo$29b2o72b2o41b3o3$150bobo$150b2o$151bo
12$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o3$
808b2o$807bo2bo$70bo737b2o$68b2o$69b2o5$29b2o$29b2o17$21b2o88b2o232b2o
88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o3$808b2o$807bo2bo$
808b2o7$29b2o$29b2o17$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b
2o88b2o232b2o88b2o3$808b2o$807bo2bo$808b2o25$21b2o88b2o232b2o322b2o88b
2o$21b2o88b2o232b2o322b2o88b2o$434b2o$429b3obob2o$432bo2bo372b2o$427bo
7bo371bo2bo$345bo80bo4bo3bo372b2o$344bobob3o71b2o3bo$337b3o3b2ob4o71bo
2b2o2b3obo4bo$337b5o2bo75bo8b3o5bo$341bo3bo3b2o3b2o61b3o6bo18bo$336b5o
4bo5bobo2bo3b3o58b2o2bo10bo11bo$336bo11b3o6bo2bo62b2o11bo6b2o4bo$337bo
bo10bo3b3o2b2obo70bo2b2o5bo4b2o$330bobo5b2o11b3o3bob2obo70b5o5bo3b2o$
330b2o20bo4b2obo74b2o3b3obo2bo$331bo23bo80b3o2bo4b2o$355bo2b3o80bo$
359bo4bo73bobo$359bo4bo74bo$360bo2bo91bobo$456b2o$345b2o88b2o19bo$345b
2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o379b
2o$353b2o72b2o378bo2bo$808b2o$367bo$368bo$366b3o4$408bo$407bo$407b3o7$
345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$
353b2o72b2o379b2o$353b2o72b2o378bo2bo$808b2o16$345b2o88b2o$345b2o88b2o
8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o72b2o379b2o$353b
2o72b2o378bo2bo$808b2o6$270bobo$270b2o$271bo4$515bobo$516b2o$516bo2$
345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o313bo242b2o
88b2o$425b3o$424b3obo$423b2o2b3o378b2o$424b2obo379bo2bo$425bo382b2o16$
345b2o88b2o314b3o$345b2o88b2o314b3o$751bo2bo$752b3o$752b2o4$674b3o$21b
2o88b2o$21b2o88b2o563bo$674b4o$667b2o5b5o82b2o$667b2o4bo3b2o72b2o8b2o
45b2o$674b3o74b2o54bo2bo$808b2o2$754b3o$756bo$755bo6b3o$761bo3bo$760bo
3b2o$678b2o80bo4bo$665b2o9bobo81bo3bo$665b2o10bo$762b2o6$345b2o88b2o
232b2o88b2o$345b2o88b2o232b2o88b2o8$111b2o$28b2o81b2o$27bo2bo$19b2o6bo
$19b2o7bo3bo644b2o72b2o55b2o$28bo648b2o72b2o54bo2bo$22bo6b4o661b3o111b
2o$21bo6b2o666bo$21b3o671bo2$210bobo$210b2o414bo$211bo413bo$625b3o$17b
2o$17b2o$575bobo$576b2o$576bo4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o
88b2o232b2o88b2o8$111b2o$111b2o3$29b2o603b3o40b2o72b2o55b2o$29b2o605bo
40b2o40bo31b2o54bo2bo$635bo84b2o86b2o$719b2o7$31b3o$31bo$32bo666bo$
697b2o$698b2o4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o
11$106bo$29b2o73b2o571b2o72b2o55b2o$29b2o646b2o72b2o54bo2bo$108b3o697b
2o$106bo2bo3b3o$106b3o$76bo30bo$77bo$75b3o$91b3o$91bo$92bo22b2o$115b2o
7$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o11$
147bo$29b2o72b2o43bo659b2o$29b2o72b2o41b3o658bo2bo$808b2o2$150bobo$
150b2o$151bo12$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o
232b2o88b2o5$70bo$68b2o$69b2o5$29b2o777b2o$29b2o776bo2bo$808b2o16$21b
2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o12$29b2o
777b2o$29b2o776bo2bo$808b2o16$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o
88b2o232b2o88b2o232b2o88b2o12$808b2o$807bo2bo$808b2o16$21b2o88b2o232b
2o322b2o88b2o$21b2o88b2o232b2o322b2o88b2o$434b2o$429b3obob2o$432bo2bo$
427bo7bo$345bo80bo4bo3bo$344bobob3o71b2o3bo$337b3o3b2ob4o71bo2b2o2b3ob
o4bo$337b5o2bo75bo8b3o5bo$341bo3bo3b2o3b2o61b3o6bo18bo$336b5o4bo5bobo
2bo3b3o58b2o2bo10bo11bo$336bo11b3o6bo2bo62b2o11bo6b2o4bo$337bobo10bo3b
3o2b2obo70bo2b2o5bo4b2o358b2o$330bobo5b2o11b3o3bob2obo70b5o5bo3b2o358b
o2bo$330b2o20bo4b2obo74b2o3b3obo2bo360b2o$331bo23bo80b3o2bo4b2o$355bo
2b3o80bo$359bo4bo73bobo$359bo4bo74bo$360bo2bo91bobo$456b2o$345b2o88b2o
19bo$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o
72b2o$353b2o72b2o2$367bo$368bo$366b3o4$408bo399b2o$407bo399bo2bo$407b
3o398b2o7$345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o
556b2o88b2o3$353b2o72b2o$353b2o72b2o8$808b2o$807bo2bo$808b2o7$345b2o
88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b2o556b2o88b2o3$353b2o
72b2o$353b2o72b2o7$270bobo$270b2o536b2o$271bo535bo2bo$808b2o3$515bobo$
516b2o$516bo2$345b2o88b2o$345b2o88b2o8$21b2o88b2o556b2o88b2o$21b2o88b
2o313bo242b2o88b2o$425b3o$424b3obo$423b2o2b3o$424b2obo$425bo7$808b2o$
807bo2bo$808b2o6$752bo$345b2o88b2o314b3o$345b2o88b2o313b5o$750b2ob3o$
751b2ob2o$753bo4$675b2o$21b2o88b2o562b3o$21b2o88b2o562b3o$677bo$667b2o
4b2o86b2o$667b2o4bob3o73b2o8b2o$674b4o73b2o$674b2o3$762b3o$761bo2bo$
760bo5bo$678bo80bo4bobo$677bobo79bobo2b3o41b2o$665b2o12bo80bo46bo2bo$
665b2o11bo129b2o7$345b2o88b2o232b2o88b2o$345b2o88b2o232b2o88b2o8$111b
2o$28b2o81b2o$27bo2bo$19b2o6bo$19b2o7bo3bo644b2o72b2o$28bo648b2o72b2o$
22bo6b4o$21bo6b2o$21b3o2$210bobo$210b2o$211bo413bo$625bobo$17b2o606b2o
$17b2o$575bobo$576b2o$576bo4$21b2o322b2o88b2o232b2o88b2o$21b2o322b2o
88b2o232b2o88b2o8$111b2o$111b2o3$29b2o646b2o72b2o$29b2o646b2o72b2o$
719bobo$720b2o$720bo6$31b3o$31bo$32bo$697bobo$697b2o$698bo3$21b2o322b
2o88b2o232b2o88b2o$21b2o322b2o88b2o232b2o88b2o11$106bo$29b2o73b2o571b
2o72b2o$29b2o646b2o72b2o$108b3o$106bo2bo3b3o$106b3o$76bo30bo$77bo$75b
3o$91b3o$91bo$92bo22b2o$115b2o7$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o
88b2o232b2o88b2o232b2o88b2o11$147bo$29b2o72b2o43bo$29b2o72b2o41b3o3$
150bobo$150b2o$151bo12$21b2o88b2o232b2o88b2o232b2o88b2o$21b2o88b2o232b
2o88b2o232b2o88b2o5$70bo$68b2o$69b2o5$29b2o$29b2o17$21b2o88b2o232b2o
88b2o232b2o88b2o$21b2o88b2o232b2o88b2o232b2o88b2o12$29b2o$29b2o!
At a different block-trail width I thought I had seen a cheaper one-step cleanup of the traffic light. According to my theories, it should still work fine at 90:234, but I didn't see it this time around... time to re-examine my theories, maybe.

EDIT:Ah, no, that was just a regular traffic light, not the TL+G explosion where the traffic light ends up in a different location. Here's the relevant 4-rephaser object at 90:110. Not a useful reaction, unless you happen to want a small traffic light deletion spark right there for some reason:

Code: Select all

#C 90:110 4-rephaser traffic light creation and deletion
x = 566, y = 1591, rule = B3/S23
68b2o88b2o$68b2o88b2o30$68b2o88b2o$68b2o88b2o30$68b2o88b2o308b2o88b2o$
68b2o88b2o308b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o
108b2o88b2o108b2o88b2o30$68b3o87b2o108b2o88b2o108b2o88b2o$66b2o2bo3b2o
82b2o108b2o88b2o108b2o88b2o$69b2obo3bo$65bo2bob4obo$65b2ob3o4bo$65b2ob
obobobo$66bobobo3bo$67bo3b2o$85bo$85bo$84b3o3$84b3o$64b2o19bo$59bob2o
2bo19bo$58bob3obo$61bo$57bo6bo$59bobo2bo$61bo$61b2o$68b2o$44bo23b2o$
43bo$43b3o6$158b2o108b2o88b2o108b2o88b2o$158b2o108b2o88b2o108b2o88b2o
3$76b2o$76b2o12$99bo$100b2o$99b2o3$68b2o$68b2o8$158b2o108b2o88b2o108b
2o88b2o$158b2o108b2o88b2o108b2o88b2o3$76b2o$76b2o17$68b2o$68b2o7$559b
2o$158b2o108b2o88b2o108b2o88bobo$2b3o153b2o108b2o88b2o108b2o88bobo$
557b2obob2o$o5bo551b6o$o5bo69b2o484bo2bo$o5bo69b2o486bo$472bo$2b3o153b
o308b3o2bo76b3o$159bo307bobo2bo$159b2o298b5o3bo3bo$146bo4b2o12bo297b2o
3b5o11bo$144b2ob2obo2b2ob2o7bo293b4o6b2obobob4o4bo$143b2o4b2o4bo2bo7bo
293bo11b2ob2ob2o3bobo$142bo3bo2b4o5b3o3b2o288bo6b2o12bo3bo3bo$47b3o93b
3ob2o2b2o2b3o3b2ob2o287bo7b2o11b3o6b3o76b2o$47bo96bo5bo12bo289b3o24b2o
2b2o76b2o$48bo429b3o4b2o$478b2obo3b2o$482b3ob2o$483b4o$484b2o2$68b2o
88b2o308b2o88b2o$68b2o88b2o308b2o88b2o8$268b2o88b2o$2b3o139bo123b2o88b
2o$142b2o$o5bo136b2o$o5bo69b2o398b2o72b2o$o5bo69b2o398b2o72b2o$524b3o$
2b3o484bo36bo$490b2o33bo$489b2o3$107b3o$107bo$108bo8$68b2o88b2o308b2o
52bo35b2o$68b2o88b2o308b2o52bobo33b2o$522b2o8$2b3o268b3o75b2o$275bo74b
o2bo$o5bo259b2o4bob2o77bo6b2o$o5bo69b2o188b2o4bobo73bo3bo7b2o102b3o9b
2o72b2o$o5bo69b2o194b2o78bo113bo9b2o72b2o$275b2o71b4o6bo106bo$2b3o268b
o3b2o72b2o6bo$271b3o83b3o$275b3o$167b3o105bo$167bo107b3o$168bo106b3o$
276bo$264b2o96b2o$264b2o96b2o7$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o
88b2o108b2o88b2o108b2o88b2o9$2b3o$404b3o$o5bo399bo$o5bo69b2o198b2o72b
2o53bo70b2o72b2o$o5bo69b2o149bo48b2o72b2o124b2o72b2o$228bo$2b3o221bo$
227b2o$226b2o$226bobo$226b2o$227bo10$68b2o88b2o108b2o88b2o108b2o88b2o$
68b2o88b2o108b2o88b2o108b2o88b2o7$84bo$82b2o$2b3o78b2o$548b3o$o5bo310b
o229bo3bo$o5bo69b2o198b2o40bo31b2o194bo4bo$o5bo69b2o198b2o38b3o31b2o
195bo3bo$548b2o$2b3o2$304bo$303bo$303b3o11$68b2o88b2o108b2o88b2o108b2o
88b2o$68b2o88b2o108b2o88b2o108b2o88b2o9$2b3o2$o5bo$o5bo269b2o72b2o$o5b
o269b2o72b2o2$2b3o14$559b2o$158b2o108b2o88b2o108b2o88bobo$70bo87b2o
108b2o88b2o108b2o88bobo$66b5o4b2o480b2obob2o$68b2o5bobo480b6o$562bo2bo
$65bo2b2ob4o489bo$66b2o3b4o2bo394bo$72bo85bo308b3o2bo76b3o$159bo307bob
o2bo$159b2o298b5o3bo3bo$2b3o78bo2bo59bo4b2o12bo297b2o3b5o11bo$83bo3bo
56b2ob2obo2b2ob2o7bo293b4o6b2obobob4o4bo$o5bo77bobo56b2o4b2o4bo2bo7bo
293bo11b2ob2ob2o3bobo$o5bo56b2o20bo56bo3bo2b4o5b3o3b2o288bo6b2o12bo3bo
3bo$o5bo47b2o7b2o78b3ob2o2b2o2b3o3b2ob2o287bo7b2o11b3o6b3o76b2o$56bo6b
obo78bo5bo12bo289b3o24b2o2b2o76b2o$2b3o51b2obo3bo2bo411b3o4b2o$59b2o
417b2obo3b2o$58b2o2bo419b3ob2o$62bobo418b4o$63bo420b2o2$68b2o88b2o308b
2o88b2o$68b2o88b2o308b2o88b2o8$268b2o88b2o$144bo123b2o88b2o$142b2o$
143b2o$76b2o72b2o324b2o72b2o$76b2o72b2o324b2o72b2o$524b3o$489bo36bo$
490b2o33bo$489b2o$2b3o2$o5bo100b3o$o5bo100bo$o5bo101bo2$2b3o94bo$97bob
o$98b2o4$68b2o88b2o308b2o52bo35b2o$68b2o88b2o308b2o52bobo33b2o$522b2o
8$273b3o75b2o$275bo74bo2bo$266b2o4bob2o77bo6b2o$76b2o72b2o114b2o4bobo
73bo3bo7b2o102b3o9b2o72b2o$76b2o72b2o120b2o78bo113bo9b2o72b2o$275b2o
71b4o6bo106bo$273bo3b2o72b2o6bo$271b3o83b3o$275b3o$2b3o162b3o105bo$
167bo107b3o$o5bo161bo106b3o$o5bo269bo$o5bo257b2o96b2o$264b2o96b2o$2b3o
6$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o108b2o88b2o108b2o88b2o10$
404b3o$406bo$76b2o72b2o124b2o72b2o53bo70b2o72b2o$76b2o72b2o75bo48b2o
72b2o124b2o72b2o$228bo$226bo$227b2o$226b2o$2b3o221bobo$226b2o$o5bo220b
o$o5bo$o5bo2$2b3o6$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b2o108b2o
88b2o108b2o88b2o7$84bo$82b2o$83b2o$548b3o$317bo229bo3bo$76b2o198b2o40b
o31b2o194bo4bo$76b2o198b2o38b3o31b2o195bo3bo$548b2o3$304bo$2b3o298bo$
303b3o$o5bo$o5bo$o5bo2$2b3o6$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b
2o108b2o88b2o108b2o88b2o12$276b2o72b2o$276b2o72b2o5$2b3o2$o5bo$o5bo$o
5bo2$2b3o5$559b2o$158b2o108b2o88b2o108b2o88bobo$70bo87b2o108b2o88b2o
108b2o88bobo$66b5o4b2o480b2obob2o$68b2o5bobo480b6o$562bo2bo$65bo2b2ob
4o489bo$66b2o3b4o2bo394bo$72bo85bo308b3o2bo76b3o$159bo307bobo2bo$159b
2o298b5o3bo3bo$83bo2bo59bo4b2o12bo297b2o3b5o11bo$83bo3bo56b2ob2obo2b2o
b2o7bo293b4o6b2obobob4o4bo$84bobo56b2o4b2o4bo2bo7bo293bo11b2ob2ob2o3bo
bo$63b2o20bo56bo3bo2b4o5b3o3b2o288bo6b2o12bo3bo3bo$54b2o7b2o78b3ob2o2b
2o2b3o3b2ob2o287bo7b2o11b3o6b3o76b2o$56bo6bobo78bo5bo12bo289b3o24b2o2b
2o76b2o$56b2obo3bo2bo411b3o4b2o$59b2o417b2obo3b2o$58b2o2bo419b3ob2o$2b
3o57bobo418b4o$63bo420b2o$o5bo$o5bo61b2o88b2o308b2o88b2o$o5bo61b2o88b
2o308b2o88b2o2$2b3o6$268b2o88b2o$144bo123b2o88b2o$142b2o$143b2o$76b2o
72b2o324b2o72b2o$76b2o72b2o324b2o72b2o$524b3o$489bo36bo$490b2o33bo$
489b2o3$107b3o$107bo$108bo2$99bo$97bobo$98b2o$2b3o2$o5bo$o5bo61b2o88b
2o308b2o52bo35b2o$o5bo61b2o88b2o308b2o52bobo33b2o$522b2o$2b3o7$273b3o
75b2o$275bo74bo2bo$266b2o4bob2o77bo6b2o$76b2o72b2o114b2o4bobo73bo3bo7b
2o102b3o9b2o72b2o$76b2o72b2o120b2o78bo113bo9b2o72b2o$275b2o71b4o6bo
106bo$273bo3b2o72b2o6bo$271b3o83b3o$275b3o$167b3o105bo$167bo107b3o$
168bo106b3o$276bo$264b2o96b2o$264b2o96b2o4$2b3o2$o5bo$o5bo61b2o88b2o
108b2o88b2o108b2o88b2o$o5bo61b2o88b2o108b2o88b2o108b2o88b2o2$2b3o8$
404b3o$406bo$76b2o72b2o124b2o72b2o53bo70b2o72b2o$76b2o72b2o75bo48b2o
72b2o124b2o72b2o$228bo$226bo$227b2o$226b2o$226bobo$226b2o$227bo7$2b3o
2$o5bo$o5bo61b2o88b2o108b2o88b2o108b2o88b2o$o5bo61b2o88b2o108b2o88b2o
108b2o88b2o2$2b3o5$84bo$82b2o$83b2o$548b3o$317bo229bo3bo$76b2o198b2o
40bo31b2o194bo4bo$76b2o198b2o38b3o31b2o195bo3bo$548b2o3$304bo$303bo$
303b3o8$2b3o2$o5bo552b2o$o5bo61bo89b2o108b2o88b2o108b2o88bob2o$o5bo60b
ob2o87b2o108b2o88b2o108b2o88bobo$67bo3bo2b3o480bo5bo$2b3o62bo5bo483b2o
bo3bo$67b2obobo486b2obobo$66bobobo4bo$66bobobob3o393bo81bo$67bo3b2o86b
o307bobob3o76bo$158bobo299b3o3b2ob4o77bo$85bo71bo302b5o2bo$84b3o60bo8b
2o306bo3bo3b2o3b2o$83bobobo68b2o6b4o291b5o4bo5bobo2bo3b3o$83bobobo54b
2o19bo3bo291bo11b3o6bo2bo$63b2o19b3o54b3o7b2o10bo2b2o108b2o72b2o108bob
o10bo3b3o2b2obo$61bo3bo19bo56b2o7b2o2b3obo2bo2bo110b2o72b2o101bobo5b2o
11b3o3bob2obo76b2o$59bo5bo77bo11b3obo2b3o288b2o20bo4b2obo78b2o$59bobob
2o94bo2b3o289bo23bo$58bo4bo414bo2b3o$58bo4bo418bo4bo$58bo4bo418bo4bo$
60b3o420bo2bo2$68b2o88b2o308b2o88b2o$44bo23b2o88b2o308b2o88b2o$44bobo$
44b2o3$2b3o2$o5bo$o5bo261b2o88b2o$o5bo261b2o88b2o$142bo$2b3o137bobo$
76b2o64b2o6b2o324b2o72b2o$76b2o72b2o324b2o47bo24b2o$525b2o$490bo33bobo
$491bo$489b3o8$98bobo$99b2o$99bo3$68b2o88b2o308b2o53bo34b2o$68b2o88b2o
308b2o51b2o35b2o$522b2o4$2b3o2$o5bo$o5bo267bo$o5bo267b2o75b2o$276bo74b
obo$2b3o261b2o6b2o76b2o6b2o103bo$76b2o72b2o114b2o3b2ob2o76b2o6b2o103b
2o9b2o72b2o$76b2o72b2o120b4o72bobobo111bobo9b2o72b2o$272b3ob2o71b2o$
273b2ob2o71bob2o4bobo$272b3o3bo79b2o$272bob3o81bo$274bo$274bo2bo2$275b
3o$264b2o96b2o$264b2o96b2o7$68b2o88b2o108b2o88b2o108b2o88b2o$68b2o88b
2o108b2o88b2o108b2o88b2o9$405bo$405b2o$404bobo$76b2o72b2o124b2o72b2o
124b2o72b2o$76b2o72b2o124b2o72b2o124b2o72b2o17$68b2o88b2o108b2o88b2o
108b2o88b2o$68b2o88b2o108b2o88b2o108b2o88b2o8$82bo$82bobo464bo$82b2o
464b3o$547b3obo$76b2o198b2o38bobo31b2o194b2o2b3o$76b2o198b2o39b2o31b2o
195b2obo$317bo230bo4$303bobo$303b2o$304bo10$68b2o88b2o108b2o88b2o108b
2o88b2o$68b2o88b2o108b2o88b2o108b2o88b2o12$276b2o72b2o$276b2o72b2o!

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